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.
Write an equation relating to . Then use this equation to find the length of the road after 14 days.
clearly:
L = D + 45
so when D = 14
L = .... ?
The equation relating the length (L) after D days of construction can be written as:
L = 45 + D
To find the length of the road after 14 days, we substitute D = 14 into the equation:
L = 45 + 14
L = 59
Therefore, the length of the road after 14 days of construction is 59 miles.
To write an equation relating L (length in miles) to D (number of days of construction), we can use the information given that the crew is adding one mile to the road each day.
Since the road originally measured 45 miles, we can start with that as the initial length:
L = 45
Then, for each day of construction, the crew adds one mile to the road. This means that after D days, the length of the road would be the original length plus the number of miles added:
L = 45 + D
Using this equation, we can find the length of the road after 14 days by substituting D = 14 into the equation:
L = 45 + 14
L = 59
Therefore, the length of the road after 14 days of construction would be 59 miles.