Question

A sports drink is advertised as 20 fluid ounces, but the amount varies by 0.45 fluid ounces. If x represents the amount of ounces in each sports drink, write an equation to model the maximum and minimum amounts and determine the minimum amount for the drink.

Answer 1

To model the maximum and minimum amounts of ounces in each sports drink, add and subtract 0.45 from the advertised amount of 20 ounces. The equations are x = 20 + 0.45 for the maximum amount and x = 20 - 0.45 for the minimum amount, leading to a minimum possible amount of 19.55 fluid ounces.

Step-by-step explanation:

If x represents the amount of ounces in each sports drink, the amount varies by ±0.45 fluid ounces.

This means that the sports drink can have 0.45 ounces more or less than the advertised 20 ounces.

To find an equation modeling the maximum and minimum amounts of the drink, we add and subtract 0.45 from 20 ounces.

The equation for the maximum amount is x = 20 + 0.45, which equals 20.45 fluid ounces. The equation for the minimum amount is x = 20 - 0.45, which equals 19.55 fluid ounces.

Therefore, the minimum amount for the drink is 19.55 fluid ounces.