Which of the three situations given below is best modeled by an exponential function?
I'm not good at math :/
Answers
The correct answer is (b) a bacteria culture triples in size every day describes a exponential function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The growth of a population, bacteria culture, or puppy can be modeled by an exponential function if the growth rate is proportional to the current size.
In other words, if the growth rate is constant, then the growth can be modeled by an exponential function.
Out of the three situations given, option (ii) is the only one that has a constant growth rate, since the bacteria culture triples in size every day. This means that the growth rate is constant at 200% per day.
Option (i) has a growth rate that is not constant but increases every year, so it is not best modeled by an exponential function.
Option (iii) also has a growth rate that is not constant, since the puppy grows by a fixed amount of 2 pounds every month regardless of its current weight.
Therefore, the correct answer is (b) a bacteria culture triples in size every day describes a exponential function.
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Related Questions
plz help!!
32 25 18 11 4
These are the first 5 terms of sequence
Find(a)6th term
(b)nth term
(c)which term is equal to -332
Answers
Answers
A 3
B t = -7n +39
C 51.571
It is declining!
32 to 25 decreases by 7
25 to 18 decreases by 7
18 to 11 decreses by 7
The sequence is linear!
39 is the 0th term and our numbers are decreasing by 7 each term.
t = -7n +39 is our equation
a) -7(6) + 39
-49 + 39
3
b) to find nth term replace the term with n in this equation:
t = -7n +39
c) -332 = -7n +39
Subtract 39 from both sides!
-361 = -7n
Divide both sides by -7!
n = 51.571
The 6th term will be equal to -3, the nth term of the sequence will be equal to -7n + 39 and the term will be the 53rd term.
What is the arithmetic sequence?Two definitions are given for an arithmetic sequence. A "series where the variances in between every two succeeding terms are the same" is what it is.
Each term in an algebraic expression is created by multiplying its previous term by a specified integer (either positive, negative, or zero).
As per the given information in the question,
The sequence is given as:
32, 25, 18, 11, 4
(a)
a = 32
d = 25 - 32 = -7
n = 6
Then,
a₆ = a + (n - 1)d
a₆ = 32 + (6 - 1)(-7)
= 32 - 35
= -3
(b)
Find the nth term.
[tex]a_n[/tex] = a + (n - 1)d
= 32 + (n - 1)(-7)
= 32 -7n + 7
[tex]a_n[/tex] = -7n + 39
(c)
-332 = 32 + (n - 1)(-7)
-332 - 32 -7 = -7n
n = -371/-7
n = 53rd term.
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You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,000 in price. The few houses on the water, however, have prices up to $15 million. The distribution of house prices will be:_____. a. skewed to the left.b. roughly symmetric.c. skewed to the right.
Answers
Answer:
d. skewed to the right with possible outliers
Step-by-step explanation:
The distribution of house prices will be skewed to the right with possible outliers. This is because the regular median prices are still fairly far apart from each other with roughly $300,000 in difference between them. Also since there are some extreme house prices also included that greatly surpass the normal range these would be considered outliers in the data set.
calculators are sold to students for $20 each. 300 students are willing to buy them for that price. For each five dollars increase in price, there are 30 fewer students that are willing to buy the calculator.
a. what selling price will produce the maximum revenue?
b. what will the maximum revenue be?
Answers
A polygon with twelve sides is called a decagon.
True
O False
0
Answers
Answer:
False
Step-by-step explanation:
Answer:
False
The proper term would be dodecagon.
how many questions can i miss out of 25?
Answers
Answer:
if there are 25 questions, you can miss all of them. The ones you get right will give you 4 points.
Step-by-step explanation:
y varies directly with x. When y = 16, X = 80. What does y equal when x = 125?
a.) 50
b.) 25
c.) 15
d.) 20
Answers
Answer:
25
The correct answer is 25
You just got your first paycheck. The gross amount was $187.15, and the net amount was $150.55. The state tax, FICA, and Medicare totaled $17.60. How much was the federal income tax?
Your answer
Answers
Answer:
o.8
Step-by-step explanation:
What is the remainder when 3x2−7x+5 is divided by x+5?
Answers
Answer:
35 is the remainder
Step-by-step explanation:
have a good Thanksgiving tomorrow
4x + 2 = 10 and 4x = 8
Answers
Answer:
4x=8,x=2
4x+2=10,x=1
Step-by-step explanation:
2). subtract 2 on both sides
3). after that you will do ( 10 - 2 = 8 )
4). 4x = 8
5). Divide 4 on both sides
6) you final answer should be x= 2
You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 3 : 10. You bake 20 oatmeal cookies. How many chocolate chip cookies do you bake?
Answers
Answer
6 chocolate chip cookies :)
Step-by-step explanation:
So this is VERY simple...
Oatmeal is OChocolate is C3:10
C:O
and it says you bake 20 Oatmeal cookies
3:10
C:20
OR
3/10 is c/20
you multiply 2 on the bottom so you do the same thing on the top
3 x 3 = 6
Answer:
6 chocolate chip cookies!
Step-by-step explanation:
The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?
Group of answer choices
-5
-2
2
5
Answers
Answer:
-5
Step-by-step explanation:
Because y=Mx=b and m is the slope
Answer:
-5
Step-by-step explanation:
person above me
Look at the picture please don’t guess
Answers
Answer:5,6
Step-by-step explanation:
1/2 dived by what equlels 4
Answers
Answer:
1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 / ? = 4
1/2 / 4 = ?
1/2 = 4 x ?
1/2 / 1/8 = 4
what is the value of third digit 6.56
Answers
Answer:
The value of the third digit is 6 hundredths, think back to place values from second grade.
Find the value of a if [tex]\frac{x(x+a)}{x^2-9} =\frac{x}{x+3}[/tex]
Answers
Hope this helps!
I NEED SERIOUS ANSWERS WITHIN 15 MINUTES PLEASE, WILL MAKE BRAINLIEST
Find the radius of a circle whose sector area is 59 square inches and whose arc measures 40o.
A 1,4 inches
B 13 inches
C 2.6 inches
D 23 inches
Answers
Answer: 1,4 is the answer
Someone please help!!
Answers
Answer:
the graph has two relative maximums
Step-by-step explanation:
Please mark brainliest!
write the equation for the line that goes through the points (-8,2) and (7,7)
Answers
Answer:
y=3x+(0,4.5)
Step-by-step explanation:
i did this in my head, but the difference between -8 and 7 is 15. the difference between 2 and 7 is 5. it's rise over run so (15,5). that simplified is (3,1)/3. that is the slope. now you need a graph to see the y-int. the y-int is around 4.5.
Pleasse help me with this
Answers
Answer:
Step-by-step explanation:
30% off of $18.00
so that makes the price $12.60
Please helpp anyone
Answers
Step-by-step explanation:
let equation of the line be y = mx + b.
m = - 100/60 = - 5/3
sub (0, 100):
100 = -5/3(0) + b
b = 100
therefore, y = -5/3x + 100
Topic: coordinate geometry
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
y = -5/3x + 100
Step-by-step explanation:
Find slope change in y over change in x
-100/60
-5/3
find y-int
100
y = -5/3x +100
Solve using EQUATIONS (with step by step explanation)
3x+y=-9
y=5x+7
Answers
Answer:
3x+y=-9= 0 then y=5x+7=0
Step-by-step explanation:
Slope=−
2.000
6.000
=−3.000
x−intercept=−
3
9
=−3
y−intercept=−
1
9
=−9.00000
=
2.000
10.000
=5.000
x−intercept=
−5
7
=−1.40000
y−intercept=
1
7
=7.00000 i believe
Answer my question please
Answers
Answer:
Lol where the answer
Step-by-step explanation:
What is the least integer that is a solution of 2r-4.4>-8.6?
Answers
Answer:
- 2
Step-by-step explanation:
2r - 4.4 > - 8.6
2r > - 8.6 + 4.4
2r > - 4.2
r > - 2.1
The least integer is - 2
Please help me : Tyler ater fruit snacks, and Han ate + less than that. Write an expression for the number of fruit
snacks Han ate.
Answers
Answer:
y= x-3/4 is the correct answer
Step-by-step explanation:
we don't know the number of fruit snacks tyler ate, so that's x, and y is the number of fruit snacks he ate, which is 3/4 - how many fruit snacks Tyler ate.
hope this helps <3
Use the graph to solve the system of linear equations.
Answers
Answer:
there is nothin there -.-
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no graph but the formula is y=mx+b
The rectangle has a length of 8 inches and height of 4 inches. The triangle has a base of 2 inches and height of 4 inches. What is the probability that a point randomly chosen in the rectangle is in the triangle? A StartFraction 1 over 8 EndFraction B One-fourth C Three-fourths D StartFraction 7 over 8 EndFraction
Answers
Answer:
yes
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
what is a figurative language
Answers
Answer:
What does figurative language mean? Figurative language is language that's intended to create an image, association, or other effect in the mind of the listener or reader that goes beyond the literal meaning or expected use of the words involved.
Step-by-step explanation: an example is
Although it's often debated how many types of figurative language there are, it's safe to say there are at least five main categories. ... They are: metaphors, similes, personification, hyperbole, and symbolism.
Answer:
Figurative Language: A language that expresses something beyond its literal meaning
Hope this helped!
Marie has a container of oatmeal. She uses 1/4 cup of the oatmeal for breakfast and 3/8 cup for a cookie recipe. What is the total change in the amount of milk she has? Why are 1/4 and 3/8 represented with negative numbers on the number line in the example
Answers
Answer:
-5/8
1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount
Step-by-step explanation:
Given that :
Breakfast = 1/4 cup of Oatmeal
Cookie recipe = 3/8 cups
Change in total amount had :
total amount used = (breakfast + cookie recipe)
= 1/4 + 3/8
= (2 + 3) / 8
= 5 / 8
Hence, change in amount had = - 5/8
1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount
5/6 k= -10 what is k equal
Answers
Answer:
k = -12
Step-by-step explanation:
5/6 k = -10
6 x 5/6 = 6 (-10)
5 k = -60
5k/5 = -60/5
k = -12
Answer:
k = -12
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
5/6k = -10
Step 2: Solve for k
Divide both sides by 5/6: k = -12Step 3: Check
Plug in k to verify it's a solution.
Substitute: 5/6(-12) = -10Multiply: -10 = -101) If there are 54 people in a class and the ratio of girls to total people is 2:5, how many
girls and boys are there in the class?
Answers
There are 22 girls and 32 boys in the class.
Ratio and proportion :Given that, there are 54 people in a class
and the ratio of girls to total people is [tex]2:5[/tex]
Number of girls in the class is,
[tex]=\frac{2}{5}*54=21.6[/tex]
In class, there are 22 girls.
Number of boys is, [tex]54-22=32[/tex]
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