Parking Charges

Question

A garage charges $4/hr up to 3 hr, with and a fraction of an hour charged as a whole hour. Any time over 3 hr is charged at the all-day rate of $15. Use function notation to write the charge as a function of the number of hours x, where 0 < x ≤8

Answer 1

A garage charges $4/hr up to 3 hr, with and a fraction of an hour charged as a whole hour. Any time over 3 hr is charged at the all-day rate of $15. Use function notation to write the charge as a function of the number of hours x, where 0 < x ≤8

 

            /

            |      $4;         0<x≤1

            |      $8;         1<x≤2

f(x) =  <      $12;        2<x≤3

            |     $15;        3≤x≤8

            \

 

 

 

 

 

 

Answer 2

For 0<=x<=8

 

   F(x) =       4*x  if x<=3,

 

                  15 otherwise

 

F(0) = 0

F(1) = 4

F(2) = 8

F(3) = 12

 

AT x=3, draw a dashed vertical line

Draw a circle around (3,12)

Shade the left half of the circle and leave the right half empty.

 

For 3 < X <= 8, F(x)=15 is a constant function, a horizontal line at 15