Question

Antonella has a $ 105 gift card that allows her to purchase her favorite smoothie for only $ 3.50 . The amount of money Antonella has remaining, y , in dollars, is a function of the number of smoothies, x , that she purchases as shown in the table

Answer 1

The relationship between the number of smoothies purchased (x) and the remaining money (y) can be described using the equation:

`\[ y = 105 - 3.50x \]`

Here, $105 is the initial amount on the gift card, and $3.50 is the cost of each smoothie. The equation subtracts the cost of each smoothie (3.50x) from the initial amount to calculate the remaining balance (y) on the gift card after purchasing x smoothies.

Explanation: