Question

Mr. Zuniga is on a diet which requires a maximum caloric intake of 2,000 calories per day. He has already consumed 1,120 calories and there are 4 hours remaining in the day. Write an equation or inequality that can be used to represent c, the number of calories Mr. Zuniga can eat during each of the remaining hours. What is the solution to the equation or inequality written?

a) c+1,120≤2,000
b) 4c+1,120≤2,000
c) c×4+1,120≤2,000
d) c÷4+1,120≤2,000

Answer 1

The equation that represents the number of calories Mr. Zuniga can eat during each of the remaining hours is c + 4c + 1,120 ≤ 2,000. The solution to this equation is c ≤ 120.

Step-by-step explanation:

To represent the number of calories Mr. Zuniga can eat during each of the remaining hours, we can write the equation: c + 4c + 1,120 ≤ 2,000. This equation represents the maximum total number of calories, 2,000, that Mr. Zuniga can consume in a day, considering the 1,120 calories he has already consumed and the additional calories he can consume during the remaining 4 hours of the day.

The solution to this equation is c ≤ 120. This means that Mr. Zuniga can eat a maximum of 120 calories during each of the remaining hours in order to stay within his maximum daily caloric intake of 2,000 calories.