In: Advanced Math
A university proposed a parking fee increase. The university
administration recommended gradually increasing the daily parking
fee on this campus from $6.00 in the year 2004, by an increase of
8% every year after that. Call this plan A. Several other plans
were also proposed; one of them, plan B, recommended that every
year after 2004 the rate be increased by 60 cents.
a. Let t=0 for year 2004 and fill in the chart for
parking fees under plans A and B.
Round your answers for the values under Plan A to two decimal
places, and enter the exact answers for the values under Plan
B.
Years after 2004 | Parking Plan under Plan A | Parking Plan under Plan B |
0 | $6.00 | $6.00 |
1 | $ | $ |
2 | $ | $ |
3 | $ | $ |
4 | $ | $ |
b. Write an equation for parking fees FA as a
function of t (years since 2004) for plan A and an
equation FB for plan B.
Enter the exact answers.
FA=
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FB=
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c. What will the daily parking fee be by the year
2025 under each plan?
Round your answer for the value under Plan A to two decimal places,
and enter the exact answer for the value under Plan B.
Under plan A, the daily parking fee in the year 2025 with be
$.
Under plan B, the daily parking fee in the year 2025 with be
$.
d. Imagine that you are the student representative
to the Board of Trustees. Which plan would you recommend for
adoption?
For students,
Plan APlan B
is less expensive over the next years, so it should be recommended.