Question

Alex is on a diet to lose weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, he weighs 205 pounds. Write and solve a liner equation to find how many weeks it will take Alex to reach his target weight of 175 pounds.

Answer 1

Answer: x ≥ 15

Explanation:

The first step is to write an equation:

205 - 2x ≤ 175

This is because Alex wants to reach his target of 175 pounds, he needs to weigh less than or equal to 175 pounds after x amount of weeks.

The second step is to solve:

205 - 205 - 2x ≤ 175 - 205

- 2x/-2 ≤ -30/-2

x ≥ 15

When solving an inequality, and multiplying or dividing to isolate the variable, you must switch the sign.

So this is why x ≥ 15.

I hope I helped and have a great day! ^-^