SOLUTION: Write a linear equation to model the situation. You borrow $70 from your brother. To repay the loan, you pay him $7 per week. Use w to denote the number of weeks and y as

Algebra ->  Equations -> SOLUTION: Write a linear equation to model the situation. You borrow $70 from your brother. To repay the loan, you pay him $7 per week. Use w to denote the number of weeks and y as      Log On


   

Question 373852: Write a linear equation to model the situation. You borrow $70 from
your brother. To repay the loan, you pay him $7 per week. Use w to
denote the number of weeks and y as the balance on the loan.
please i need help as soon a posible.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since "you pay him $7 per week" for 'w' weeks, this means that you have paid him 7w dollars in 'w' weeks (eg in 2 weeks, w=2, you've paid him 7*2=14 dollars)


So whatever you've paid him so far (7w), you're going to subtract that from 70 (since you want the balance to decrease).


So this means that in 'w' weeks, the balance is 70-7w dollars (eg: in 4 weeks, the balance is 70-7*4 = 70-28 = 42 dollars)


So if "y as the balance on the loan", then the equation is


y=70-7w


Note: In 10 weeks, w=10, the balance will be y=70-7%2A10=70-70=0 dollars. So you will have paid him off in 10 weeks. This is of course assuming that there's no interest involved.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim