Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.

<h3>How to determine a linear equation describing the daily distance of a runner</h3>

In this question we need to derive an expression of the daily distance as a function of time. Now we proceed to complete the components:

Linear equations have an independent variable (t - time) and a dependent variable (x - daily distance).
We notice that the daily distance increases linearly in time, then then we have the following pattern:

t 1 2 3 4 5 6
x 2 2.5 3 3.5 4 4.5
The equation that represents the n-th term of the sequence is x(n) = 2 + 0.5 · (n - 1).
The week when Susie will run 10 miles per day is:

10 = 2 + 0.5 · (n - 1)
8 = 0.5 · (n - 1)
n - 1 = 16
n = 17

Susie will run 10 miles per day in the 17th week.
It is not reasonable to think that pattern will continue indefinitely as it is witnessed in the difficulties experimented by fastest runners in the world to increase their peak speeds.
A marathon has a distance of 26 miles, then we must solve the following equation:

26 = 2 + 0.5 · (n - 1)
24 = 0.5 · (n - 1)
48 = n - 1
n = 49

Susie should start her training 49 weeks before the marathon.

To learn more on linear equation: brainly.com/question/11897796

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7 0

2 years ago

PLZ HELP ME WILL GIVE BRAINLIEST

geniusboy [140]

Answer:

negative slope

Step-by-step explanation:

using the slope equation you can see that the slope is -53

3 0

4 years ago