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Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75.

Respuesta :

The range would be all real numbers such that 0 ≤ y ≤ 40.

The complete question is

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. What is the range of this function? all real numbers such that y ≤ 40 all real numbers such that y ≥ 0 all real numbers such that 0 ≤ y ≤ 40 all real numbers such that 37.75 ≤ y ≤ 40\

What is a function ?

A function is an algebraic expression which relates an independent variable with a dependent variable.

It always comes with a defined range and domain.

Draining rate is at 1.5 gallons per minute

That would be y = 1.5x +c

at x = 0 , y = 40

Therefore the equation is y = 1.5x + 40

and from the data

It can be interpreted that as the time increases the water is draining

The range would be all real numbers such that 0 ≤ y ≤ 40.

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