Question

macklle buys a drink and a frozen yogurt. the frozen yogurt is p the equation $y = 0.50x + 2.25$ can model the total cost of mad what does the value of the function at $x = 0$ represent? a the cost of a drink and $x$ ounces of frozen yogurt. b the cost of a drink and 1 ounce of frozen yogurt. c the cost of the drink. d the cost of the frozen yogurt.

Explanation:

Step1: Analyze the equation components

The equation is \( y = 0.50x + 2.25 \), where \( y \) is the total cost, \( x \) is likely the amount (e.g., ounces) of frozen yogurt, \( 0.50 \) is the cost per unit of frozen yogurt, and \( 2.25 \) is a constant term.

Step2: Substitute \( x = 0 \) into the equation

Substitute \( x = 0 \) into \( y = 0.50x + 2.25 \):
\( y = 0.50(0) + 2.25 \)
\( y = 0 + 2.25 \)
\( y = 2.25 \)
When \( x = 0 \), it means there is 0 ounces of frozen yogurt. So the remaining cost (\( 2.25 \)) must represent the cost of the drink (since the frozen yogurt cost term \( 0.50x \) becomes 0).

Answer:

C. The cost of the drink.