Question

the equation for the line of best fit is y = -3x + 37. according to the equation, which of these statements is true? kids typically start with about $37 in their snack accounts. after 3 days, a kid would probably have about $37 in their snack account.

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $b$ is the y - intercept.

Step2: Identify values in given equation

In $y=-3x + 37$, $m=-3$ and $b = 37$.

Step3: Interpret y - intercept

When $x = 0$ (at the start, i.e., 0 days since camp started), $y=37$. So kids start with about $37 in their snack accounts. For the second statement, when $x = 3$, $y=-3\times3+37=-9 + 37=28$, not 37.

Answer:

Kids typically start with about $37 in their snack accounts.