The owner of a parking garage charges $2 to park for the first hour and $1 for a

Question

The owner of a parking garage charges $2 to park for the first hour and $1 for an fraction of each subsequent hour. Assume the parking cost for T >_ o hours is c (t). Suppose the owner decides to double all of the hourly rates ($4 for the first hour and $2 for any fraction of each subsequent hour). write the resulting cost function d in terms of C. Suppose the owner charges a one-time upfront fee of $5 to park in the garage in addition to the original cost. write the resulting cost function d in terms of c. Given the graph of f shown to the right, draw the graph of each of the following. These should be very accurate graphs and NOT sketches. You must use graph paper or the coordinate plane provided on the last page (do not graph all three on one coordinate plane).

Explanation / Answer

(a) let d is the resulting cost function and c is hours, then

d = 4+2(c-1)

d = 4+2c-2

d = 2c+2

d = 2(c+1)

(b) if the owner charges a one time upfront fee = $5

then

d = 2(c+1)+5

d = 2c+7

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