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Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes. (look at graph)

Is the number of gallons of water in the bathtub a function of time?

A)Yes because each t value is paired with exactly one number of gallons.
B)Yes because the number of gallons is bounded between y = 0 and y = 36.
C)No because each number of gallons is paired with more than one t value.
D)No because from t = 5 to t = 20 the number of gallons of water is constant.

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dylanrussell774 dylanrussell774 · Answer 1 · 2020-12-02T00:00:28+01:00

A.Yes because each t value is paired with exactly one number of gallons.

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lisboa lisboa · Answer 2 · 2021-09-22T06:10:23+02:00

Yes the number of gallons of water in the bathtub a function of time because each t value is paired with exactly one number of gallons.

Option A

Given :

The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.

The number of gallons of water in bathtub depends on the time taken to fill or drain water

For each minutes in x there is one y value

There is no break in the graph . For each x value there is only one value

From this graph we can say that , for each t value (minutes) there is exactly one number of gallons (y value )

So, yes because each t value is paired with exactly one number of gallons.

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