High School

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Question 9 Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it. a. Write a function that shows the total number of miles, f(x), Stefanie's car will have been driven after x more days. Explain how you know where each number goes in the equation. b. If Stefanie works 4 days a week, how many miles will her car have been driven after 3 weeks? Show and explain all your work.

Question 9 Every day when commuting to and from work Stefanie drives her car a total of 143 miles for 2 5 hours Her car

Answer :

First, determine the number of miles covered per day:

[tex]\frac{143\text{ miles}}{2.5\text{ hours}}=57.2\text{ miles per day}[/tex]

Her car already has 45,300 miles on it.

(a)The total number of miles, f(x), Stefanie's car will have been driven after x more days will be:

[tex]f(x)=45,300+57.2x[/tex]

(b) Stephanie works 4 days a week.

After 3 weeks, the number of days worked = 4 x 3 = 12 days

Therefore, when x=12:

[tex]\begin{gathered} f(x)=45,300+57.2(12) \\ =45,300+686.4 \\ =45986.4\text{ miles} \end{gathered}[/tex]

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