Question

Juan hikes up a mountain. He hikes back down at a constant rate. The table shows Juan's elevation at each hour after he begins his descent. Which function describes Juan's elevation during his descent?​

Answer 1

The linear function that describes Juan's elevation during his descent is:

B. y = -1460x + 7500.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:

y = -1460x + b.

The y-intercept is found considering that when x = 1, y = 6040, hence:

b = 6040 + 1460 = 7500.

Which means that option B is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

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