1.) Mr. Taylor weighs 300 pounds. He went on the Subway diet and was guaranteed to lose 5 pounds per week. Write an equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds

2.) You have $60 and your sister has $120. You are saving $7 per week and she is saving $5 per week. How long will it take before you and your sister have the same amount of money?

1.) 300 - 5w = 150

2.) 30 weeks

Step-by-step explanation:

w = weeks on the diet

if every week he's on the diet, that means that the weeks * 5 is how many pounds he loses. If he's on the diet one week then he loses 5 pounds. 2 weeks then 10 pounds ... etc. But because he's losing punds the value is negative

He starts at 300 pounds so the y-intercept (starting value) would be 300

Finally, because he's looking to get to 150 pounds, that is the final value you're solving for

So this is your firat equation:

300 - 5w = 150

Then we are looking for when two different eqaution have the same value.

Your equation is: 60 + 7w

Her equation is: 120 + 5w

Your final equation is 60 + 7w = 120 + 5w

Solve for this by getting w on one side, and your plain old variable-less value on the other. Do this by subtracting 5w from each side, as well as 60.

Your equation is now 2w = 60

Then divide the whole equation by 2, and you get w = 30