82817
AssignmentMultiple Choice

Writing Linear Equations

Question 82817 • AZ-Algebra 1A (MA101)

Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time, t, in weeks?

Answer
A
f(t) = 0.5t + 7
B
f(t) = 0.5t + 11
C
f(t) = 1.5t + 5
D
f(t) = 1.5t + 12.5

Explanation

The distance increases by 1.5 miles per day each week, so the function has a rate of change of 1.5 miles per week. Using the week 6 distance of 14 miles, write f(t) = 1.5(t − 6) + 14, which simplifies to f(t) = 1.5t + 5. Therefore, the correct choice is C, f(t) = 1.5t + 5.

AI-written and checked against the verified answer.

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