Question

use the equation of the trend line y = 8.77x + 686 to predict what the hiker’s elevation will be after 145 minutes. round to the nearest whole number of feet.

Explanation:

Step1: Identify the value of x

We are given that \( x = 145 \) (minutes).

Step2: Substitute x into the equation

The equation of the trend line is \( y = 8.77x + 686 \). Substitute \( x = 145 \) into the equation:

$$ y = 8.77 \times 145 + 686 $$

Step3: Calculate the product

First, calculate \( 8.77 \times 145 \):

$$ 8.77 \times 145 = 8.77 \times (100 + 40 + 5) = 8.77 \times 100 + 8.77 \times 40 + 8.77 \times 5 = 877 + 350.8 + 43.85 = 1271.65 $$

Step4: Add the constant term

Now, add 686 to the result:

$$ y = 1271.65 + 686 = 1957.65 $$

Step5: Round to the nearest whole number

Rounding \( 1957.65 \) to the nearest whole number gives \( 1958 \).

Answer:

1958