Question

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Robert is on a diet to lose weight before his Spring Break trip to the Bahamas. He is losing weight at a rate of 2 pounds per week. After 6 weeks, he weighs 205 pounds. Write and solve a linear equation to model this situation. There should be at least 3 lines of work.

Answer 1

Let $x$ be the number of weeks Robert has been on his diet. We know that he loses 2 pounds per week and that he currently weighs 205 pounds. We can write this as an equation:

$2x = 205$

Solving for $x$, we get:

$x = 102.5$

This means that Robert has been on his diet for 102.5 weeks.

We can also use this information to create a linear equation to model the situation. The equation would be:

$y = 2x$

Where $y$ is Robert's weight in pounds and $x$ is the number of weeks he has been on his diet.

We can plug in $x = 102.5$ to get:

$y = 2 \cdot 102.5 = 205$

This shows that the equation accurately models the situation.

Explanation: