Question

On a coordinate plane, a line goes through points (0, 0) and (2.5, 12.5).
Megan expects to save an average of 5 dollars per week from her babysitting earnings. The relationship between time and the amount of money she saves is shown on the graph. Which other ordered pairs would fall on this line? Select all that apply.
(0.5, 2.5)
(3, 18)
(0, 0)
(4.5, 30)

Answer 1

The line has slope 12.5/2.5 = 5, so the equation is y = 5x. Plugging in:

- (0.5, 2.5): 5(0.5) = 2.5 → yes
- (3, 18): 5(3) = 15 ≠ 18 → no
- (0, 0): 5(0) = 0 → yes
- (4.5, 30): 5(4.5) = 22.5 ≠ 30 → no

So the points that fall on the line are (0.5, 2.5) and (0, 0).