Question

A scatter plot was created to show the increase in value of a baseball card over time. The equation of the line of best fit is shown below, where x represents the number of years after 1987, and y represents the value of the baseball card in dollars.

y = 5.89 + 0.61x

Which of the following is predicted by the equation of the line of best fit?

Please choose the correct answer below

A. The value of the baseball card would be $27.24 in 2022.
B. The value of the baseball card would be $36.52 in 2017.
C. The value of the baseball card would be $21.35 in 2022.
D. The value of the baseball card would be $18.30 in 2017.

Answer 1

• A. The value of the baseball card would be $27.24 in 2022.

Explanation:

Function:

• y = 5.89 + 0.61x

Let's verify the answer options:

A. The value of the baseball card would be $27.24 in 2022.

• y = 5.89 + 0.61*(2022-1987)
• y = 27.24
• Correct

B. The value of the baseball card would be $36.52 in 2017.

• y = 5.89 + 0.61(2017 - 1987)
• y = 24.19
• Incorrect

C. The value of the baseball card would be $21.35 in 2022.

• y = 5.89 + 0.61(2022 - 1987)
• y = 27.24
• Incorrect

D. The value of the baseball card would be $18.30 in 2017.

• y = 5.89 + 0.61(2017 - 1987)
• y = 24.19
• Incorrect