Free Printable Exponential Test Unit 7

Worksheets

Exponential Test Unit 7

Total questions: 39

Worksheet time: 2hrs 34mins

Name

Class

Date

Is the pictured graph growth, decay, or linear or none?

Exponential Growth

Exponential Decay

Linear

None

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

f(x)=400(.97)^x

f(x)=400(1-0.03)^x

f(x)=400(1.03)^x

f(x)=400(0.03)^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

y=6(0.14)^x

y=6(1+14)^x

y=6(1.14)^x

y=6(0.86)^x

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

y=8(15,000)^x

y=15,000(1.08)^x

y=15,000(0.92)^x

y=15,000(0.08)^x

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year. This growth can be expressed by the exponential equation P = 3400(1.03)^x, where P is the population after t years. Find the number of years it will take for the population to reach 10,000?

20 years

26 years

30 years

36 years

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. What is the equation that models this problem for the value of the vehicle in 4 years?

y= 7650(.14)⁴

y= 7650(.86)⁴

y= 7650(.86)³

y= 7650(1.14)³

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

Y-INTERCEPT

COMMON RATIO

Which of the equations below represent this table?

y=3⋅(36)^x

y=36⋅(3)^x

y=3⋅(⅓)^x

y=36⋅(⅓)^x

10.

Trevor wants to have $4000 saved up in 3 years for a car. If he invests $1500 in a savings account that is compounded annually at an interest rate of 12%, will he have enough money at the end of the 4 years?

Yes

11.

Semi-Annually means how many times a year?

12.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

$1,584.62

$2,651.39

$2,706.86

$1,825.10

13.

Monthly means how many times a year?

365

14.

Approximately what interest rate would be needed in order to grow Christian's investment of $1400 to $2500 in 10 years if the interest was compound monthly?

5.96%

5.84%

5.81%

5.88%

15.

If you are opening a savings account, is it better to have interest compounded daily or quarterly at 7%?

Daily - so you earn money more often

Quarterly - so you earn money less often

who knows

I need to consult my financial analyst

16.

At age 25, George starts depositing $300 per month into an investment account earning 8.7% interest compounded monthly. How much is the account worth after 10 years? {HINT use S=P(1-aⁿ)/(1-a) a= 1+r/12)}

$48,092.99

$57,079.91

$32,684.17

$18,655.84

17.

You charge $5,000 dollars over spring break on your credit card at 24% APR compounded monthly. If you make $250 dollar payments a month how many months until the credit card is paid off?

20 months

36 months

78 months

120 months

18.

EXTRA CREDIT: What is the total amount of money spent to pay off your credit card from your Spring break trip?

4 lines

19.

What type of function is $f\left(x\right)=2\left(\frac{1}{4}\right)^x$ ?

exponential growth (increasing)

exponential decay (decreasing)

both growth and decay

20.

Pick the equation that represents exponential growth (is increasing).

y=2(0.5)^x

y = 0.5(2)^x

21.

Which of the following graphs represents an exponential decay function?

22.

Which equation matches the graph?

y = 4^x + 3

y = 4^x - 3

y = 4^{(x + 3)}

y = 4^{(x - 3)}

23.

Which equation matches this graph?

24.

What is the domain of the function?

x > -4

y > -5

y < -4

all real numbers

25.

Determine the range for the function.
$f\left(x\right)=2^{x-4}+5$

y > 4

y > 2

y > 3

y > 5

26.

What is the asymptote of y = 2^(x-3) ?

y = 0

y = -3

x = 0

x = -3

27.

What is the asymptote for the equation $y=2^{x+5}-7$ ?

y = -7

y = 7

y = 5

x = 2

28.

What function model best represents the data in the table?

linear

exponential

quadratic

29.

What function best models the data in the table?

linear

exponential

quadratic

30.

What function best fits the data in the table?

linear

exponential

quadratic

31.

Which equation best fits the data in the table?

y = 15940x - 2423.6

y = 267.71x² -3494.46 + 16500

y = 16500(0.80)^x

32.

Monica did an experiment to compare two method of warming an object. The results are shown in the table above. Which statement best describes her results?

The temperature using both methods changed at a constant rate.

The temperature using both methods changed at an exponential rate.

The temperature using Method 2 changed at a constant rate.

The temperature using Method 2 changed at an exponential rate.

33.

What is the positive difference in the y-intercepts of the following equations?

34.

Which of the following has the largest y-intercept?

y = 5(8)^x

x² – 5x + 4 = -3

-4x + 8y = 16

y = 5x² -11x + 4

35.

Two functions are shown below.

For what value of x will f(x) = g(x)?

f(x) = 20x – 6

g(x) = 2(3)^x

x = 1

x = 2

x = 3

x = 4

36.

Two functions are shown below.

For what positive minimum value of x will f(x) exceed g(x)?

f(x) = x² - 5x + 6

g(x) = 2x + 8

x = 3

x = 5

x = 7

x = 8

37.

Which statement is true based on the data in the table?

f(x) is an exponential function

g(x) is a linear function

The y-intercept of g(x) is 10

The slope of f(x) is 3

38.

Which student's number pattern is linear?

Ashley

Hector

Jamal

Karina

39.

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Exponential Test Unit 7

Total questions: 39

Worksheet time: 2hrs 34mins

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