Question

1. hiking the scatter plot shows a hiker’s elevation above sea level during a hike from the base to the top of a mountain. the equation of a trend line for the hiker’s elevation is $y = 8.77x + 686$, where $x$ represents the number of minutes and $y$ represents the hiker’s elevation in feet. use the equation of the trend line to estimate the hiker’s elevation after 145 minutes. round to the nearest whole number as needed.

scatter plot titled hiker’s elevation with x - axis time (minutes) from 0 to 150 and y - axis elevation (ft) from 0 to 3000, showing a trend line and data points

Explanation:

Step1: Substitute x=145 into equation

$y = 8.77\times145 + 686$

Step2: Calculate the product term

$8.77\times145 = 1271.65$

Step3: Sum to find y value

$y = 1271.65 + 686 = 1957.65$

Step4: Round to nearest whole number

$y \approx 1958$

Answer:

1958 feet