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

Step-by-step 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