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A construction crew needs to pave a road that is 202 miles long. The crew paves 9 miles of the road each day. The length, L (In miles), that is left to be pavedafter d days is given by the following functionL (D)=202 -9DAnswer the following questions.(a) if 130 miles of the road is left to be paved, how many days has the crew beenpaving the road?1 days(b) How many miles of the road does the crew have left to pave after 13 days?



Answer :

Answer:

a) The crew has been paving the road for 8 days

b) The crew has 85 miles left to pave after 13 days

Explanation:

The function representing the length, L (In miles), that is left to be paved

after D days is given as:

L(D) = 202 - 9D

a) If 130 miles of the road is left to be paved

L(D) = 130

Substitute L(D) = 130 into the equation L(D) = 202 - 9D and solve for D

130 = 202 - 9D

9D = 202 - 130

9D = 72

D = 72/9

D = 8

The crew has been paving the road for 8 days

b) The number of miles the crew have left to pave after 13 days

D = 13

L(D) = 202 - 9D

L(13) = 202 - 9(13)

L(13) = 85

The crew has 85 miles left to pave after 13 days 2

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