Question

the equation for the line of best fit is y = -25x + 300. according to the equation, which of these statements is true? a new mountain bike would likely sell for about $300. a 6 - year - old mountain bike would likely sell for about $300.

Explanation:

Step1: Analyze the new bike statement

A new bike has an age \( x = 0 \). Substitute \( x = 0 \) into the equation \( y=-25x + 300 \).
\( y=-25(0)+300=300 \). So a new bike would sell for about \$300.

Step2: Analyze the 6 - year - old bike statement

For a 6 - year - old bike, \( x = 6 \). Substitute \( x = 6 \) into the equation \( y=-25x + 300 \).
\( y=-25(6)+300=-150 + 300 = 150 \). So a 6 - year - old bike would sell for about \$150, not \$300.

Answer:

A new mountain bike would likely sell for about \$300.