darla is training for a marathon. she starts out running 1.5 miles and plans to add additional miles each week. below is a screen shot from her fitness tracker app on her phone.

weeks | total number of miles run each week.

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 all parts you so much : )

Part A:

W = weeks t = total number of miles run each week

The equation would be t = 1.5 * w + 1.5. Say that the week was week 2. The equation for that would be t = 1.5 * 2 + 1.5 because you are multiplying 1.5 by the number of weeks and adding the additional 1.5 miles Darla started out with. The answer for the sample equation would be 4.5.

Part B:

Use the equation from part A. Plug in what you know. t = 1.5 * 14 + 1.5. Simplify it to t = 21 + 1.5. Simplify it again until you get to t = 22.5. 22.5 is smaller than 26.2, so Darla would not be able to run a full marathon in 14 weeks.

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