Exponential Functions Practice

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing
• Decreasing

Tags

CCSS.HSF-IF.C.8B

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.
• The predicted decrease in number of elephants in the refuge each year.
• The number of years it will take for the elephant population to stop increasing.
• The initial amount of elephants in the park.

Tags

CCSS.HSF.LE.B.5

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.
• The number of elephants increases by 1.5% each year.
• The number of elephants increases by 101.5% each year.
• The number of elephants is multiplied by 1.015 each year.

Tags

CCSS.HSF.LE.B.5

This is the horizontal line which the values of the function cannot fall below :

• Asymptote

• Growth Factor

• Axis of symmetry

• Curve

Tags

CCSS.HSF-IF.C.7D

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

• y = -64x + 128

• y = 0.5x + 128

• y = 128(0.5)^x

• y = 128(2)^x

Tags

CCSS.HSF.LE.A.2

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

Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

• C(t) = 12000(1.06)^t ; $3149.72
• C(t) = 12000(.06)^t ; $3149.72
• C(t) = 12000(.06)^t ; $1472.95
• C(t) = 12000(1.06)^t ; $15149.72

Tags

CCSS.HSF.LE.A.2

The function y = 125(1.13)^x represents Mr. Gantz's recent investments where x is measured in years.  Which is NOT true?

• Mr. Gantz initial invested $125
• Mr. Gantz's money grows by 13% per year
• After 4 years Mr. Gantz will have about $203.81
• Mr. Gantz earns more money in year one than in year 5

Tags

CCSS.HSF.LE.B.5

Karen bought a car for $24,000. The value of the car depreciates by about 13% each year. Which function below can be used to find the VALUE of her car? 

•  $y=24000\cdot0.13^x$  

•  $y=24000\cdot87^x$  

•  $y=24000\cdot13^x$  

•  $y=24000\cdot0.87^x$  

Tags

CCSS.HSF.LE.A.2

Susan invests $3000 and earns 4% interest, compounded annually. Which function below would calculate her total investment for any year? 

•  $y=3000\cdot\left(1+0.04\right)^x$  

•  $y=3000\cdot\left(1-0.04\right)^x$  

•  $y=3000\cdot0.04^x$  

•  $y=3000\cdot0.96^x$