Question

The graph below shows how the amount of water in a bathtub is changing over time.

image

Which equation describes the relationship between x, the time in minutes, and y, the amount of water in gallons?

A.
y
=
x
4

B.
y
=
4
x

C.
y
=
15
x

D.
y
=
x
15

Answer 1

I can't see the image you mentioned. Could you either re-upload it or tell me two clear points on the line (for example "(x1,y1) = (2,8) and (x2,y2) = (4,16)")?

How to decide once you have two points:
- Compute the slope m = (y2 − y1) / (x2 − x1).
- Because the line goes through the origin, the equation is y = m x.
- Match m to one of the choices:
- A: m = 1/4
- B: m = 4
- C: m = 15
- D: m = 1/15

If you tell me two points from the graph I’ll pick the correct choice.