Ask Question
13 January, 17:03

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?

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

+1
Answers (1)
  1. 13 January, 17:09
    0
    Given:

    Week 6 = 14 miles

    Week 5 = 1.5 miles less than week 6.

    1.5 miles is the common difference.

    Week 6 = 14 miles

    Week 5 = 12.5 miles

    Week 4 = 11 miles

    Week 3 = 9.5 miles

    Week 2 = 8 miles

    Week 1 = 6.5 miles

    f (t) = first term + common difference (t-1)

    f (t) = 6.5 miles + 1.5 miles (t-1)

    f (1) = 6.5 + 1.5 (1-1)

    f (1) = 6.5 miles

    f (2) = 6.5 + 1.5 (2-1)

    f (2) = 6.5 + 1.5

    f (2) = 8 miles
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers