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

Question

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

To determine the correct equation that describes the relationship between the time in minutes (x) and the amount of water in gallons (y), we need to analyze how y changes with respect to x according to the graph you mentioned.

While I cannot see the graph, let’s consider typical relationships for quantities of water filling a bathtub:

1. If the water is filling at a constant rate and the graph is linear, you would look for a linear equation of the form \(y = mx\), where \(m\) represents the rate of increase in gallons per minute.

2. If, for example, the graph shows that after 1 minute, there are 4 gallons of water, and the water fills consistently every minute, you might consider \(y = 4x\).

3. If you observe that there are 15 gallons in a certain time, you would check the corresponding x value to find whether the relationship is direct.

Thus, the correct option can be derived from matching one of these forms to what is seen visually on the graph.

If you want to provide more specific details about the graph, such as points on it or whether it is linear, I can help determine the correct equation from the given options.