A railroad crew can lay 6 miles of track each day. They need to lay 162 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function.
L(d)=162-6d
Answer the following questions.
How many miles of track does the crew have left to lay after 17 days?
How many days will it take the crew to lay all the track?
Answers & Comments
Answer:
It will take the crew approximately 27 days to lay all 162 miles of track.
Step-by-step explanation:
To find out how many miles of track the crew has left to lay after 17 days, we can substitute 17 into the formula:
L(d) = 162 - 6d
L(17) = 162 - 6(17)
= 162 - 102
= 60
Therefore, the crew has 60 miles of track left to lay after 17 days.
To determine the number of days it will take the crew to lay all the track, we need to find the value of d that makes L(d) equal to 0 (since no track will be left to lay):
L(d) = 0
162 - 6d = 0
Solving this equation for d:
6d = 162
d = 162/6
d = 27
It will take the crew approximately 27 days to lay all 162 miles of track.