MAT 205 WU Algebra Worksheet

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MAT 205 Fall 2021
LRA 11
a. Find the initial value of the truck.
b. Does the function represent growth or decay?
name
date
c. By what percent does the value of the truck change each
year?
1. Milo practices math 3.5 hours each week. Let N be the number
of weeks Milo practices math and I be the total number of
hours that he practices.
a. Write an equation relating N to T.
d. Find the value of the truck after 3 years and after 8 years.
Round your answers to the nearest dollar as necessary.
b. The use the equation to find the number of hours that Milo
practices math in 14 weeks.
3. If the current rate of inflation which is 5.3% per year re-
mains, the future price p(t) (in dollars) of a gallon of gas can
be modeled by the following exponential function, where t is
the number of years from today.
p(t) = $3.50(1.053)
=
2. 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)
a. Find the current price of a gallon of gas.
b. Find the price of a gallon of gas 10 years from now.
Round your answers to the nearest cent as necessary.
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4. Evaluate. If your calculator does not have e, use 2.71828.
Give your answer to the nearest thousandth.
Extra Credit
a. e-0.34
b. 310e5
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 an-
swer to the nearest dollar.
c. 47e0.042(20)
d. 50(1 – e2)
End of document I
5. 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.
a. Write an exponential function showing the relationship be-
tween y and t.
b. How many fish will there be after 3 years? Round your an-
swer to the nearest whole number.
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