kids who attend sierra summer camp can deposit money in their accounts to spend on snacks. this scatter plot…
kids who attend sierra summer camp can deposit money in their accounts to spend on snacks. this scatter plot shows the balances of several accounts at different times. it also shows the line of best fit. snack accounts 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.
Answer
Explanation:
Step1: Recall slope - intercept form
The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the given equation $y=-3x + 37$, $m=-3$ and $b = 37$.
Step2: Interpret y - intercept
The y - intercept is the value of $y$ when $x = 0$. In the context of the problem, $x$ is the number of days since camp started and $y$ is the account balance. When $x = 0$ (at the start of camp), $y=-3\times0 + 37=37$. So kids typically start with about $$37$ in their snack accounts.
Step3: Check second statement
For the second statement, when $x = 3$, we substitute into the equation $y=-3\times3+37=-9 + 37=28$. So after 3 days, a kid would probably have about $$28$ in their snack account, not $$37$.
Answer:
Kids typically start with about $37 in their snack accounts.