Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A construction crew needs to pay the road that is 200 miles long. The crew pays 9 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) =209-9d

A Construction Crew Needs To Pay The Road That Is 200 Miles Long The Crew Pays 9 Miles Of The Road Each Day The Length L In Miles That Is Left To Be Paved After class=

Sagot :

a) 8 days b) 101 miles

1) Considering the function:

[tex]L(d)=209-9d[/tex]

2) Note that "d" stands for days, and "L" is the length. Based on that, we can plug into the function.

a) Let's plug into L, the number of paved miles, and then solve it for d

[tex]\begin{gathered} 137=209-9d \\ 137-209=209-209-9d \\ -72=-9d \\ \frac{-72}{-9}=\frac{-9d}{-9} \\ d=8 \end{gathered}[/tex]

So the crew has been paving the road for 8 days

b) Similarly, we're going also to plug into that d=12 to find the length

[tex]\begin{gathered} L(12)=209-9(12) \\ L(12)=209-108 \\ L(12)=101 \end{gathered}[/tex]

Note that, the crew has left to pave after 12 days, 101 miles.

Notice that the variable L always provides the remaining number of miles to be paved.

3) Hence, the answer is a) 8 days b) 101 miles