Question

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 = 8.38x + 632, 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 170 minutes. after 170 minutes, the hiker’s elevation will be about □ feet above sea level. (round to the nearest whole number as needed.)

Explanation:

Step1: Identify the formula and input

The equation of the trend line is \( y = 8.38x + 632 \), where \( x \) is the time in minutes and \( y \) is the elevation in feet. We need to find \( y \) when \( x = 170 \).

Step2: Substitute \( x = 170 \) into the equation

Substitute \( x = 170 \) into \( y = 8.38x + 632 \):
\( y = 8.38 \times 170 + 632 \)

Step3: Calculate the product

First, calculate \( 8.38 \times 170 \).
\( 8.38 \times 170 = 1424.6 \)

Step4: Add the constant term

Then, add 632 to the result:
\( y = 1424.6 + 632 = 2056.6 \)

Step5: Round to the nearest whole number

Round \( 2056.6 \) to the nearest whole number, which is \( 2057 \).

Answer:

2057