Question

A restaurant's delivery person can determine the number of miles he can drive in x hours by the function f (x) = x2 + 3x. The number of gallons of gasoline that the delivery person uses for driving y miles can be determined by the function g of y is equal to y over 18 period If the delivery person works a 9-hour shift, how many gallons of gasoline will he need in his tank?
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Answer 1

The delivery person will use 6 gallons of gasoline

The function to determine the number of miles in x hours is:

f(x)  =  x²  +  3x

The number of gallons of gasoline used for driving y miles is:

g(y) = y/18

For a delivery person that works a 9-hour shift:

x  =  9

f(9)  =  9²  +  3(9)

f(9)  =  81  +  27

f(9)  =  108

That is, the number of miles, y = 108 miles

The number of gallons of gasoline used:

g(y)  =  y/18

g(108)  =  108/18

g(108)  =  6

The delivery person will use 6 gallons of gasoline

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