Sasha T. answered • 11/04/20
Certified Educator of All Subjects K-9 Specializing in Math
What is the length of the road after 18 days?
A construction crew is lengthening a road that originally measured 51 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)=51+d
This scenario involves using the function provided and solving for x .
The first step is to recognize what each part of the function represents.
L(d) is our function output, specifically the solution to the question when we input d
51 represents the original length of the road in miles
1 represents the 1 mile added to the road per day (1 mi/day)
d is our input variable and, per the problem, represents the number of days of construction
Now that we know what each part of the function represents the question is asking what is the length of the road after 18 days of construction. Since d represents the number of days of construction, we are going to input 18 for d in the function:
L(d)=51+1*d The original function
L(18)=51+1*18 Input 18 (days) for d (which represents 18 days of construction).
L(18)=51+18 Multiply the 1 mile/day by the 18 days of construction to get 18 miles
L(18)=69 Add the miles together (51 for the original length of 51 miles + 18 for one mile per day multiplied by 18 days of construction)
Therefore, the total length of the road for 18 days of construction is 69 miles
Sasha T.
You are correct, I will edit my answer.11/04/20
David W.
Actually, the formula is L(d)=51+1*d,, where L is in miles, 51 is in miles, 1 is miles per day and d is in days, so 1 mile/day * d days results in miles. Be sure to add values that are in like units !!11/04/20