A construction crew needs to pave a road that is 208 miles long. The crew paves 7 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function.=Ld−2087dAnswer the following questions.(a) If 145 miles of the road is left to be paved, how many days has the crew been paving the road?9days(b) How many miles of the road does the crew have left to pave after 11 days?121miles
Question
A construction crew needs to pave a road that is 208 miles long. The crew paves 7 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function.=Ld−2087dAnswer the following questions.(a) If 145 miles of the road is left to be paved, how many days has the crew been paving the road?9days(b) How many miles of the road does the crew have left to pave after 11 days?121miles
Solution
It seems like there's a bit of confusion in your question. The function you've provided doesn't seem to match the context of the problem. However, based on the context, we can create a function to solve the problem.
The function would be L = 208 - 7d, where L is the length of the road left to be paved and d is the number of days the crew has been working.
(a) If 145 miles of the road is left to be paved, we can set L = 145 and solve for d:
145 = 208 - 7d 7d = 208 - 145 7d = 63 d = 63 / 7 d = 9 days
So, the crew has been paving the road for 9 days.
(b) To find out how many miles of the road the crew has left to pave after 11 days, we can substitute d = 11 into the function:
L = 208 - 7*11 L = 208 - 77 L = 131 miles
So, the crew has 131 miles left to pave after 11 days.
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