Question

During which week will the two have the same amount of money left in their savings account and how much money will they have

Answer 1

Answer:

6th week with $32

Step-by-step explanation:

Since both plan on adding or spending money weekly at a constant rate, this is a linear situation. Both Tommy's and Joey's money can be modeled with a line on a graph and linear equations.

Tommy's starting amount is $8 and this is the y-intercept so b=8. His rate of change is adding $4 per week. This is a slope of 4. His equation is y=4x+8.

Joey's starting amount is $44 and this is the y-intercept so b=44. His rate of change is subtracting $2 a week for each app he buys. This is a slope of -2. His equation is y=-2x+44.

To find when they have the same amount means when the amounts are equal. Solve 4x+8=-2x+44.

4x+8=-2x+44

6x+8=44

6x=36

x=6 weeks

To find how much money there is in 6 weeks, plug x=6 into one of the equations.

4(6)+8 = 24+8 = 32