Question

Steve started with $250 and spent $25 per week. Chelsea started with $30 and saved $30 per week. Use x for time and y for savings =. Write and graph equations to represent each situation. When did Steve and Chelsea have the same amount of money?

Answer 1

Steve and Chelsea will have the same amount of money on the 12 week. I can’t graph it but I am a little sure that is the answer

Answer 2

Steve and Chelsea had the same amount at week 4, $150.00. The equation for Steve is y=250-(25x) and the equation for Chelsea is: y= 30x+30

The graphs are shown above:

To understand how I got the equations:

Steve starts at 250 and keeps wasting $25.00 per week. If he keeps on doing this he’ll lose the original amount, which was $250.00. 25 is our constant rate, so we multiply that by how many weeks he’s been spending and subtract that answer from $250.00.

Chelsea starts of her savings with $30.00 and every week it increases by that much. We have to use 30, our constant rate and multiply that by the amount of weeks she’s been saving and add that to what she started, which is also $30.00

If you have any other questions I’d be glad to answer!