Question

-) During to the pandemic, Patryce gained 7 lbs. since she couldn't go to the gym. She decidedto start a 4-week workout program at home. Her records over the 4-week period indicatedthat she lost 5 lbs., gained 3 lbs., lost 2 lbs., and then lost another 3 lbs.a.) Write a mathematical expression using positive and negative integers to showwhat occurred over the course of her 4-week program.b.) Evaluate the expression. Did Patricia lose the 7 lbs. she had gained.

Answer 1

a) x + 7 - 5 + 3 - 2 - 3

b) Patricia lost the 7 lbs she gained during pandemic.

Step-by-step explanation:

a) Let Patricia initial weight = x

When Patricia gained 7 lbs = x + 7

Let loss = minus sign

A gain = plus sign

4 week workout program:

Week 1: lost 5 lbs

= x + 7 - 5

= x + 2

Week 2: gained 3 lbs

= x + 2 + 3

= x + 5

Week 3: lost 2 lbs

= x + 5 - 2

= x + 3

Week 4: lost another 3 lbs

= x + 3 - 3

= x + 0

= x

The mathematical expression: x + 7 - 5 + 3 - 2 - 3

b) Evaluating the expression:

x + 7 - 5 + 3 - 2 - 3

= x + 7 - 7 + 3 - 3

= x

Since the result of the evaluation gives the initial weight of Patricia , then Patricia lost the 7 lbs she gained during pandemic.