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? (

Answer 1

The missing options are;

A. |c - 450| ≤ 45

B. |c + 450| ≥ 45

C. |c - 45| ≤ 450

D. |c - 45| ≥ 450

Answer:

Option C. |c - 45| ≤ 450

Step-by-step explanation:

We are told that her goal is to burn 450 calories in one hour.

We are now told that the number of calories (c) she actually burns in one hour varies no more than 45 calories.

This means that in one hour, she will burn either 45 more or 45 less calories than 450. Which is;(450 + 45) calories or (450 - 45) calories.

Since she she wants to burn 450 in an hour, representing in absolute value inequality form is;

|c - 45| ≤ 450