Answer:
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
hope this helps, be safe :)
