A construction crew needs to pave a road that is 202 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function.
L(d)=202-8d
Answer the following questions.
If 138 miles of the road is left to be paved, how many days has the crew been paving the road?
How many miles of the road does the crew have left to pave after 13 days?
L(d)=202-8d
Answer the following questions.
If 138 miles of the road is left to be paved, how many days has the crew been paving the road?
How many miles of the road does the crew have left to pave after 13 days?
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To find out how many days the crew has been paving the road when 138 miles are left to be paved we can substitute L(d) = 138 into the function and solve for d:
138 = 202 - 8d
Rearranging the equation:
8d = 202 - 138
8d = 64
Dividing both sides of the equation by 8:
d = 8
So the crew has been paving the road for 8 days when 138 miles are left to be paved.
To find out how many miles of the road the crew has left to pave after 13 days we can substitute d = 13 into the function L(d):
L(13) = 202 - 8 * 13
L(13) = 202 - 104
L(13) = 98
So after 13 days the crew has 98 miles of the road left to pave.
Answer:
To answer the questions, we can use the given function:
L(d) = 202 - 8d
1. **If 138 miles of the road is left to be paved, how many days has the crew been paving the road?**
Set L(d) equal to 138 and solve for d:
138 = 202 - 8d
8d = 202 - 138
8d = 64
d = 64 / 8
d = 8
So, the crew has been paving the road for 8 days.
2. **How many miles of the road does the crew have left to pave after 13 days?**
Substitute d = 13 into the function:
L(13) = 202 - 8 * 13
L(13) = 202 - 104
L(13) = 98
After 13 days, the crew has 98 miles of the road left to pave.
Step-by-step explanation:
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