Question

some high school students wore fitness trackers during gym class. their teacher recorded the number of minutes each student walked during class, x, and how far each student walked in kilometers, y. this is the equation of the line of best fit for the data: ( y = \frac{1}{12}x + 1 ). according to this equation, how far would a high school student likely walk in 120 minutes? write your answer as a whole number. round to the nearest whole number if necessary. (\boxed{quad}) kilometers

Explanation:

Step1: Identify the value of x

We are given that \( x = 120 \) (minutes), and we need to find \( y \) (kilometers) using the equation \( y=\frac{1}{12}x + 1 \).

Step2: Substitute x into the equation

Substitute \( x = 120 \) into the equation \( y=\frac{1}{12}x+1 \):
\[
y=\frac{1}{12}\times120 + 1
\]

Step3: Calculate the first term

Calculate \( \frac{1}{12}\times120 \). Since \( \frac{120}{12}=10 \), we have:
\[
y = 10+1
\]

Step4: Find the value of y

Add 10 and 1:
\[
y=11
\]

Answer:

11