Question

2.4ps-14
challenge the value of a baseball players rookie card began to increase once the player retired. when he retired, his card was worth $7.48. the value has increased by $2.03 each year since then. express the relationship between x and y in an equation. is the relationship between x and y proportional? what was the value of the card in 2004?
express the relationship with an equation.
y = \boxed{\space} (use integers or decimals for any numbers in the expression.)
enter your answer in the answer box and then click check answer.
2 parts remaining

Explanation:

Step1: Identify the relationship type

The value of the card starts at $7.48 (initial value) and increases by $2.03 each year. This is a linear relationship, so the equation will be in the form \( y = mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value). Here, \( m = 2.03 \) and \( b = 7.48 \).

Step2: Write the equation

Substitute \( m = 2.03 \) and \( b = 7.48 \) into the linear equation formula \( y=mx + b \). So the equation is \( y = 2.03x+7.48 \).

(Note: To find the value in 2004, we would need to know the year the player retired. Since that information is not fully visible in the provided problem, we can only provide the equation for the relationship between \( x \) (years since retirement) and \( y \) (value of the card in dollars) for now.)

Answer:

The equation expressing the relationship is \( y = 2.03x + 7.48 \)