Question

Rowan opens a savings account with $25 and saves $75 per month. Reem opens a savings account with $225 and saves $25 per month.
a) Write an equation for Rowan’s savings account balance. $225 and saves $25 per month
b) Write an equation for Reem’s savings account balance?

c) When will their account balances be the same? How much will they have? Justify your answer either through graphs and/or solving the equations.

Answer 1

Answer:

a.) y= 75x+25

b.) y= 25x+225

c.) Their account balances will be the same in 4 months and they'll have $325.

Step-by-step explanation:

For A and B: The variable is x which is the amount of months then add the initial amounts without a variable and equal it to y which is the amount in all.

For Rowan, they are saving $75 per month. This is where our variable goes and then we add the intial $25 dollars. The equation is y= 75x+25.

For Reem, they are saving $25 per month. This is where our variable goes and then we add the intial $225 dollars. The equation is y= 25x+225

C. You have to set the equations equal to each other and then solve for x.

75x+25 = 25x+225

Subtract 25 from each side

75x=25x+200

Subtract 25x from each side

50x=200

Divide each side by 50

X=4

For the amount they'll have, just plug 4 into one of the equations.

Rowan : y=75(4)+25

y=325

Reem: y=25(4)+225

y=325