Final answer:
To find the amount of sugar in one ounce of the energy drink, divide the total sugar (expressed as an improper fraction) by the total volume: 21/2 teaspoons divided by 14 ounces equals 3/4 teaspoons per ounce.
Step-by-step explanation:
To determine how much sugar is found in one ounce of a 14-ounce energy drink that contains a total of 10 1/2 teaspoons of sugar, we need to divide the total amount of sugar by the total volume of the drink. In this case, the total volume of the drink is 14 ounces.
First, let's convert 10 1/2 teaspoons to an improper fraction for easier calculation:
10 1/2 teaspoons = (10 × 2 + 1)/2 = 21/2 teaspoons
Now, we find the amount of sugar per ounce:
(21/2 teaspoons) / 14 ounces = 21/28 teaspoons per ounce
When simplifying the fraction, we get:
21/28 = 3/4 teaspoons per ounce
Therefore, the answer is:
(a) 3/4 teaspoons