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A construction crew is lengthening a road that originally measured 52 miles. The crew is adding one mile
to the road each day. The length, L(in miles), after D days of construction is given by the following
function L(d)=52+b. What is the length of the road after 36 days
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The function in your post is written incorrectly.
A correct writing is L(D) = 52 + D, where D is the number of working days.
To get the answer, simply substitute 36 instead of D into the formula
L(36) = 52 + 36 = 88 miles. ANSWER
Solved.
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This problem is extremely simple, but is written with a lot of pathos.
When there are so much pathos, it imposes some obligations:
at least, the text (including the formulas) should be correct.