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graphing linear equations topic: graphing linear equations progress: qu…

Question

graphing linear equations
topic: graphing linear equations
progress:
question id: 100276
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
mia had $40. then she started to receive $5 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?
(1, 40)
(4, 60)
(2, 80)
(6, 30)

Explanation:

Step1: Form the linear equation

Mia's total savings $y = 40 + 5x$ (initial $40 + $5 per week $x$).

Step2: Test each option

  • (1,40): $y=40+5(1)=45≠40$ → No
  • (4,60): $y=40+5(4)=60$ → Yes
  • (2,80): $y=40+5(2)=50≠80$ → No
  • (6,30): $y=40+5(6)=70≠30$ → No

Step3: Confirm the correct pair

Only (4,60) satisfies the equation.

Answer:

B. (4, 60)