Question

the equation for the line of best fit is $y = 0.3x + 1.8$.
in this equation, what does the $y$-intercept approximate?

the number of children on the trampolines when there is no one in the arcade

the number of children in the arcade for every one child on the trampolines

the number of children in the arcade when there is no one on the trampolines

the number of children on the trampolines for every one child in the arcade

Explanation:

The line of best fit is in slope-intercept form \(y = mx + b\), where \(b\) is the y-intercept (value of \(y\) when \(x = 0\)). Assuming \(x\) represents the number of children in the arcade and \(y\) represents the number on trampolines, the y-intercept (\(b = 1.8\)) is the approximate number of children on trampolines when \(x = 0\) (no one in the arcade). The other options describe the slope (rate of change) or mix up variables, so they are incorrect.

Answer:

the number of children on the trampolines when there is no one in the arcade