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Exponential Equations and Word Problems

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Exponential Equations and Word Problems
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

C(t) = 1.06(12000)t

C(t) = 12000(.06)t

C(t) = 12000(.06)t

C(t) = 12000(1.06)t

Tags

CCSS.HSF.LE.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 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

3.

MULTIPLE CHOICE QUESTION

1 min • 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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

800

0.85

0.15

x

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The equation f(x) = 300(1.06)x is being used to calculate the amount of money in a savings account.  What does the 1.06 represent?

6% growth

6% decay

1.06% growth

.06% decay

Tags

CCSS.HSF-IF.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSF-IF.C.8B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Linear Growth

Linear Decay

Exponential Growth

Exponential Decay

Tags

CCSS.HSF-IF.C.8B

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