nick buys, repairs, and resells mountain bikes. he records the age of each bike and how much he sells it…
nick buys, repairs, and resells mountain bikes. he records the age of each bike and how much he sells it for. he used the data to create a scatter plot along with the line of best fit. the equation for the line of best fit is y = -25x + 300. according to the equation, which of these statements is true? a 6 - year - old mountain bike would likely sell for about $300. a new mountain bike would likely sell for about $300.
Answer
Explanation:
Step1: Identify the variables
The equation of the line of best - fit is $y=-25x + 300$, where $x$ is the age of the bike in years and $y$ is the selling price.
Step2: Test the first statement
For a 6 - year - old bike, substitute $x = 6$ into the equation: $y=-25\times6+300$. $y=-150 + 300$. $y = 150$. So a 6 - year - old mountain bike would sell for about $$150$, not $$300$.
Step3: Test the second statement
For a new bike, $x = 0$. Substitute $x = 0$ into the equation: $y=-25\times0+300$. $y=300$. So a new mountain bike would likely sell for about $$300$.
Answer:
A new mountain bike would likely sell for about $300.