1. Milo practices math 3.5 hours each week. Let N be the number of weeks Milo practices math and T be the total number of hours that he practices.
2. Write an equation relating N to T.

1. The use the equation to find the number of hours that Milo practices math in 14 weeks.

1. The dollar value v(t) of a Ford Ranger that is t years old is given by the following exponential function.

v(t) = 45,000(0.89)^t

1. Find the initial value of the truck.

1. Does the function represent growth or decay?

1. By what percent does the value of the truck change each year?

1. Find the value of the truck after 3 years and after 8 years. Round your answers to the nearest dollar as necessary.

1. If the current rate of inflation which is 5.3%per year remains, the future pricep(t)(in dollars) of a gallon of gas can be modeled by the following exponential function, where tis the number of years from today.

p(t) = $3.50(1.053)^t

1. Find the current price of a gallon of gas.
2. Find the price of a gallon of gas 10 years from now. Round your answers to the nearest dollar as necessary.

1. Evaluate. If your calculator does not have e,use 2.71828. Give your answer to the nearest thousandth.

1. e^-0.34 b. 310e⁵

c. 47e^0.042(20) d. 50(1 - e²)

1. At the beginning of a study. there were approximately 100,000 fish in Silver Lake. Since then, the fish population has been shrinking by 5.5% each year. Let t be the number of years and y be the number of fish in Silver Lake.

1. Write an exponential function showing the relationship between y and t.

1. How many fish will there be after 3 years? Round your answer to the nearest whole number.

Extra Credit

Mary deposited $4,250 in an account that paid 1.7% annually. How much will Mary's investment be worth in 7 years? Round your answer to the nearest doll