Mia had $22. Then she started to receive $4 a week as an allowance. She plans to save all of her money for a bicycle and draws a graph of her planned savings. Mia lets x represent the number of weeks she has received her allowance, and y represent her total amount of money. Which of the following ordered pairs is on Mia's graph?
The initial amount Mia had is $22.
The amount of money she receives each week is $4.
After x weeks, her total amount of money is $22 + $4x.
To find an ordered pair on Mia's graph, we need to find a value of x and calculate her total amount of money, y.
Option 1: (2, 14)
If Mia has received her allowance for 2 weeks, her total amount of money would be $22 + $4(2) = $30, not $14. So, this ordered pair is not on Mia's graph.
Option 2: (3, 18)
If Mia has received her allowance for 3 weeks, her total amount of money would be $22 + $4(3) = $34, not $18. So, this ordered pair is not on Mia's graph.
Option 3: (5, 42)
If Mia has received her allowance for 5 weeks, her total amount of money would be $22 + $4(5) = $42. So, this ordered pair is on Mia's graph.
Option 4: (7, 50)
If Mia has received her allowance for 7 weeks, her total amount of money would be $22 + $4(7) = $50. So, this ordered pair is on Mia's graph.
Therefore, the ordered pairs on Mia's graph are (5, 42) and (7, 50).