A construction crew needs to pave a road that is 208 miles long the crew paves 9 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
L(d)=208-9d
Answer the following questions
A)how many miles of the road does the crew have left to pave after 13 days
_________miles
B)of 145 miles of the road is left to be paved,how many days has the crew been paving the road
_________days
A) To find the number of miles of road that the crew has left to pave after 13 days, we can substitute d = 13 into the function L(d) = 208 - 9d:
L(13) = 208 - 9(13)
L(13) = 208 - 117
L(13) = 91 miles
So, the crew has 91 miles of road left to pave after 13 days.
B) To find the number of days the crew has been paving the road if there are 145 miles left to be paved, we can substitute L(d) = 145 into the function and solve for d:
145 = 208 - 9d
9d = 208 - 145
9d = 63
d = 63/9
d = 7
So, the crew has been paving the road for 7 days if there are 145 miles left to be paved.