Question

Colleen and Jimmy have part-time jobs after school. Both have decided that they want to see how much money they can save in one semester by placing part of their earnings each week into a savings account. Colleen currently has $120 in her account and plans to save $18 each week. Jimmy currently has S6 in his savings accounts and plans to save $25 each week.

Write an equation for both Colleen and Jimmy that represents the total amount of money in each of their savings account for x number of weeks. Write the equations as a system of equations.
A) y = 18x + 120
B) y = 25x + 64

Which person will have more money in his or her savings account after 18 weeks?
A) Colleen
B) Jimmy​

Answer 1

The equations for Colleen and Jimmy's savings accounts can be written as a system of equations. Plugging in x = 18, Jimmy will have more money in his savings account after 18 weeks.

Step-by-step explanation:

The equations for both Colleen and Jimmy's savings accounts can be written as a system of equations:

A) Colleen's equation: y = 18x + 120

B) Jimmy's equation: y = 25x + 64

To determine who will have more money in their savings account after 18 weeks, we can substitute x = 18 into both equations and compare the results. Plugging x = 18 into equation A) gives:

y = 18(18) + 120

y = 324 + 120

y = 444

Plugging x = 18 into equation B) gives:

y = 25(18) + 64

y = 450 + 64

y = 514

Therefore, Jimmy will have more money in his savings account after 18 weeks.