Michele has $55 after 2 weeks of saving money. She plans to have $105 after 7 weeks of saving. Which equation matches this scenario?
y−55=10(x−2)
y=7x+55
10x+7y=55
y+7=10(x+2)
y−55=10(x−2)
can you explain how this equation matches the scenario?
Certainly! Let's break down each part of the equation:
- y represents the amount of money Michele plans to have after 7 weeks of saving.
- 55 represents the amount of money Michele has after 2 weeks of saving.
- x represents the number of weeks of saving.
- 10 represents the rate at which Michele is saving money (in dollars per week).
- (x-2) represents the number of weeks Michele has been saving beyond the initial 2 weeks.
So essentially, the equation is saying that the difference between the amount of money Michele plans to have after 7 weeks (y) and the amount of money she has after 2 weeks (55) is equal to 10 times the difference between the number of weeks she plans to save (x) and the initial 2 weeks (x-2).
This equation matches the scenario because it relates the amount of money Michele plans to have after a certain number of weeks with the amount of money she has after a certain number of weeks and the rate at which she is saving.