MATH SOLVE

4 months ago

Q:
# A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 31 days.

Accepted Solution

A:

Answer:a). L=53+3 D.... equationb). Total length of the road after the crew has worked 31 days=146 milesStep-by-step explanation:Step 1Find an expression for calculating the total length of a the road as follows;L=F+(M×D)where;L=total length of the road in milesF=starting length of the road in milesM=number of miles per day addedD=number of days the crew has workedIn our case;L=unknownF=53 milesM=3 miles per dayD=unknownL=53+(3×D)L=53+3 D.... equationSolve for L when D=31 daysL=53+(3×31)L=53+93=146Total length of the road after the crew has worked 31 days=146 miles