Question

Lucy's goal for her cycling class at the gym is to burn 450 calories in one hour. The number of calories (c) she actually burns in one hour varies no more than 45 calories. Which inequality below represents this scenario? 50 points

|c − 450| 45
|c + 450| 45
|c − 45| 450
|c − 45| 450

Answer 1

No more than 45 so

|c - 450| less than or equal to 45

answer
|c − 450| <= 45

Answer 2

`|c-450|\leq45`

Explanation:

Given :

Lucy's goal for her cycling class at the gym is to burn 450 calories in one hour.

The number of calories (c) she actually burns in one hour varies no more than 45 calories.

To Find : Which inequality below represents this scenario?

Solution:

Number of the calories she actually burns in one hour=c

Goal of burning calories = 450

So, Difference =
`|c-450|`

Since we are given that The number of calories (c) she actually burns in one hour varies no more than 45 calories.

So, Inequality becomes :
`|c-450|\leq45`

Hence The inequality represents this scenario is
`|c-450|\leq45`