Question

Mallory is training for a marathon. She ran for 15 minutes on the 1* day, 19

Answer 1

the amount of time that she runs on the n-th day is:

T = 4min*n + 11min

And on day number 30 is:

T = 4min*30 + 11min = 133min

How long did she run on the 30'th day?

We know that:

She ran for:

• 15 minutes on the 1* day
• 19 minutes on the 2nd day
• 23 minutes on the 3rd day
• 27 minutes on the 4th day.

So on each consecutive day that she runs, she adds 4 minutes to the running time. This is a linear relationship.

So, if we define n as the day number, we can write the time T of running as:

T = 4min*n + b

Where b is a constant, notice that when n = 1 (the first day) the time of running is 15 minutes, then:

15 min = 4min*1 + b

15 min - 4min = 11 min =b

Then the amount of time that she runs on the n-th day is:

T = 4min*n + 11min

And on day number 30 is:

T = 4min*30 + 11min = 133min

If you want to learn more about linear equations:

brainly.com/question/1884491

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