Question

youve been tracking how many miles you run each day and how many calories you burn. the line of best fit for your data is: $y = 100x + 50$, where $x$ is the number of miles and $y$ is the number of calories burned. based on the line of best fit, about how many calories would you expect to burn after running 4.5 miles?

Explanation:

Step1: Substitute the value of \(x\) into the equation

Given the equation \(y = 100x+50\), and \(x = 4.5\) (miles).
Substitute \(x = 4.5\) into the equation: \(y=100\times4.5 + 50\).

Step2: Perform the multiplication

\(100\times4.5=450\). So the equation becomes \(y = 450+50\).

Step3: Perform the addition

\(450 + 50=500\).

Answer:

500