Determine if the equation y = 15(1.35) x represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.

Growth, because the scale factor is greater than 1

Growth, because the scale factor is less than 1

Decay, because the scale factor is greater than 1

Decay, because the scale factor is less than 1

4 x + 3 y = 12 4x\ +\ 3y\ =\ 12 4 x + 3 y = 1 2 Solve for y

y = − 3 4 x + 3 y\ =\ -\frac{3}{4}x\ +\ 3 y = − 4 3 x + 3

y = 3 4 x + 3 y\ =\ \frac{3}{4}x\ +\ 3 y = 4 3 x + 3

y = 3 4 x − 3 y\ =\ \frac{3}{4}x\ -\ 3 y = 4 3 x − 3

y = − 3 4 x − 3 y\ =-\ \frac{3}{4}x\ -\ 3 y = − 4 3 x − 3

x + y = 1 x\ +\ y\ =1 x + y = 1

y = − x + 1 y\ =\ -x\ +\ 1 y = − x + 1

y = x − 1 y\ =\ x\ -1 y = x − 1

y = − x − 1 y\ =\ -x\ -1 y = − x − 1

Write a formula for the nth term of the following sequence: 6, 8, 10, 12, ...

a n = 2 n + 4 a_n=2n\ +\ 4 a n = 2 n + 4

a n = − 2 n + 4 a_n=-2n\ +\ 4 a n = − 2 n + 4

a n = 6 n + 2 a_n=6n\ +\ 2 a n = 6 n + 2

a n = − 6 n + 2 a_n=-6n\ +\ 2 a n = − 6 n + 2

Write a formula for the nth term of the following sequence: 15, 45, 135, 405...

a n = 5 ( 3 ) x a_n=5\left(3\right)^x a n = 5 ( 3 ) x

a n = 3 ( 5 ) x a_n=3\left(5\right)^x a n = 3 ( 5 ) x

a n = 15 ( 3 ) x a_n=15\left(3\right)^x a n = 1 5 ( 3 ) x

a n = 3 ( 15 ) x a_n=3\left(15\right)^x a n = 3 ( 1 5 ) x

Writing Exponential Functions

Authored by RYAN PESCAIA

Mathematics

9th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which equation describes the story below?
You start with $5 and triple your money every day.

y=5(3)^x

y=5^x

y=5(3x)

y=15^x

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write an exponential function to model the situation.
The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

C(t) = 12000(.94)^t

C(t) = 12000(.06)^t

C(t) = 12000(1.6)^t

C(t) = 12000(1.06)^t

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

f(h) = 3(6)^h

f(h) = 6x^h

f(h) = 6(3)^h

f(h) = 3(6h)

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.
Which function models the amount of cola in gallons after h hours?

f(h) = 75(-5)^h

f(h) = -5(75)^h

f(h) = .95(75)^h

f(h) = 75(.95)^h

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.
Which statement is NOT true.

Mr. Bittle loses 85% of his investment monthly

Mr. Bittle initially invested $24,220

Each month Mr. Bittle loses 15% of his investment

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write an exponential function to model the situation. You invest $1500. Your investment increases at a rate of 3.5%.

B(t) = 1500(0.965)^t

B(t) = 1500(1.035)^t

B(t) = 1500(.035)^t

B(t) = 1500(1.965)^t

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write an exponential function to model the situation. The value of a car is $18000 and is depreciating at a rate of 12% per year.

V(t) = .88(18000)^t

V(t) = .12(18000)^t

V(t) = 18000(.88)^t

V(t) = 18000(.12)^t

Tags

CCSS.HSF.LE.A.2

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Writing Exponential Functions

Which equation describes the story below?
You start with $5 and triple your money every day.

Write an exponential function to model the situation.
The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.
Which function models the amount of cola in gallons after h hours?

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.
Which statement is NOT true.

Write an exponential function to model the situation. You invest $1500. Your investment increases at a rate of 3.5%.

Write an exponential function to model the situation. The value of a car is $18000 and is depreciating at a rate of 12% per year.

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)^x?

What is the decay rate for the function: f(x) = 800(0.85)^x?

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay rate?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Writing Exponential Functions

Which equation describes the story below?You start with $5 and triple your money every day.

Write an exponential function to model the situation. The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.Which function models the amount of cola in gallons after h hours?

The function y = 24,220 (0.85)x represents Mr. Bittle's investment in the stock exchange where x is measured in months.Which statement is NOT true.

Write an exponential function to model the situation. You invest $1500. Your investment increases at a rate of 3.5%.

Write an exponential function to model the situation. The value of a car is $18000 and is depreciating at a rate of 12% per year.

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)x?

What is the decay rate for the function: f(x) = 800(0.85)x?

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay rate?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which equation describes the story below?
You start with $5 and triple your money every day.

Write an exponential function to model the situation.
The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.
Which function models the amount of cola in gallons after h hours?

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.
Which statement is NOT true.

What is the a-value (or y-intercept) for the function: f(x) = 800(0.85)^x?

What is the decay rate for the function: f(x) = 800(0.85)^x?