Question

Darla is training for a marathon. She starts out running 1.5 miles and plans to add additional miles each week. Below is a screenshot of her fitness tracker app on her phone.

week miles run
1 3
2 4.5
3 6
4 7.5
5 9
Part A: Assuming that this pattern of running continues for Darla, write an equation that could be used to find the number of miles she runs for any number of weeks.
Part B: to complete a marathon, you must run 26.2 miles. Using the table and / or equation, will Darla be able to complete a marathon after 14 weeks of training?

Answer 1

Explanation:

4.5-3=1.5 so that’s the pattern.

A.

so a equation could be L as last number of miles and 1.5 cause it goes up by that ever week. N as New number of miles. So C+1.5=N

B. So we gonna need a table

Week number | Last Week | New Number Of Miles

1 | N/A. | 3

2 | 3 | 4.5

3 Use chart given

4

5 | 7.5. | 9

6 | 9 | 10.5

7 |10.5 | 12

8 | 12 | 13.5

9 | 13.5 | 15

10 | 15 | 16.5

11 | 16.5 |18

12 | 18 | 19.5

13 | 19.5 | 21

14 | 21 | 22.5

22.5 IS NOT EQUAL TO 26.2, so no