Question

type the correct answer in each box.

the table shows the elevation in feet that a hiker has yet to climb before reaching the peak in terms of the number hours hiked.

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 2 & 1,400 \\\\ \\hline 4 & 1,000 \\\\ \\hline \\end{array}$$

in a function for this situation, the rate of change is feet per hour and the peak is at an elevation of feet.

Explanation:

Calculate the rate of change

$$ \text{Rate of change} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1,000 - 1,400}{4 - 2} = \frac{-400}{2} = -200 $$

Determine the initial elevation (peak elevation)

$$
LATEXBLOCK0
$$

Answer:

In a function for this situation, the rate of change is <blank>-200</blank> feet per hour and the peak is at an elevation of <blank>1,800</blank> feet.