Question

A construction crew is lengthening a road that originally measured 45 miles. The crew is adding one mile to the road each day. Let L be the length (in miles) after D days of construction.

1. Write an equation relating L to D (put in in one line of your answer)
2. Use that equation to find the length of the road after 23 days (put it in another line in your answer)

Answer 1

The equation relating the length of the road to the number of days of construction is L = D + 45. After 23 days, the length of the road is 68 miles.

Step-by-step explanation:

To write an equation relating the length, L, to the number of days, D, we need to consider that the crew is adding 1 mile to the road each day. The original length of the road is 45 miles. So, the equation relating L to D can be written as: L = D + 45.

To find the length of the road after 23 days, we can substitute D = 23 into the equation and solve for L. L = 23 + 45 = 68 miles.