Exponential Functions

Front

What does the y-intercept of the graph represent? Options: The amount of grams the material is gaining., The amount of grams the material is losing., The amount of grams remaining after so many years., The initial amount of grams.

Back

The initial amount of grams.

Front

Which of the following is an increasing exponential function whose y-intercept is 50? Options: y = 50(.05)^x, y = 50x - 4, y = (2)^x + 50, y = 50(1.4)^x

Back

y = 50(1.4)^x

Front

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

Back

13%

Front

A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?

Back

$46,704.79

Front

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?

Back

Increasing

Front

In the expression 12(1.015)^t, what does the value 12 represent?

Back

The initial amount of elephants in the park.

Front

The special number, natural base "e", is a ________________ number.

Back

irrational

Front

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

Back

$4005.09

Front

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

Back

$831.10

Front

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years?

Back

$1,923.23