Question

You and your friend are saving money to go on an end-of-the-year school trip. You have $25 in your savings account and add $15 each week. Your friend has $10 in a savings account and adds $15 each week.

a) Write a system of linear equations that represents the amounts of money y (in dollars) in each savings account after x weeks.


b) Will there be a day which you and your friends have the same amount of money in your savings accounts? Explain.


c) If your friend were able to add $29 each week, would there be a day when you and your friend have the same amount of money in your savings accounts? Explain.

Answer 1

a)

b) no, you will never be able to have the same amount because you started off with $25, and the friend started with $10. and you both are putting the same amount away each week which is $15.

c) also no, because although you started off with more, it was $10 more only while the friend is putting in almost twice as much as you each week.