Question

Maddie buys a drink and a frozen yogurt. The frozen yogurt is priced by the ounce. The equation y = 0.50x + 2.25 can model the total cost of Maddie’s purchases. 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.

Answer 1

The value of the function y = 0.50x + 2.25 at x = 0 represents the cost of the drink and 1 ounce of frozen yogurt. The equation models the total cost of Maddie's purchases, where x is the number of ounces of frozen yogurt and y is the total cost. When x = 0, there are no ounces of frozen yogurt, so the cost is just for the drink, which is represented by the constant term in the equation, 2.25. So, the answer is b. The cost of a drink and 1 ounce of frozen yogurt.