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
<h3>
How long did she run on the 30'th day?</h3>
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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