Kaya rented a limousine for prom. The company charges a cleaning fee of $100 and an hourly rate of $45. Her total cost for the night was $437.50. For how many hours did Kaya rent the limousine?

Number of hours= 7.5

Step-by-step explanation:

Giving the following information:

The company charges a cleaning fee of $100 and an hourly rate of $45.

Her total cost for the night was $437.50

First, we need to structure the total cost formula:

Total cost= 100 + 45*x

x= number of hours

437.5= 100 + 45x

337.5/45= x

x= 7.5

Number of hours= 7.5

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).