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A bathtub filled with 40 gallons of water drains at an average rate of 3 p minute what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining

2 Answers

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Final answer:

The rate of change is -3 and the initial value is 40.

Step-by-step explanation:

To find the rate of change and initial value of the linear function that models the amount of water in the bathtub after it starts draining, we can define the function as follows:

Let's assume the time in minutes as x, and the amount of water in gallons as y. Since the bathtub starts with 40 gallons of water and drains at a rate of 3 gallons per minute, we can write the equation y = 40 - 3x. The rate of change is the coefficient of x, which is -3. The initial value is the y-intercept, which is 40.

User Dannywartnaby
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6 votes

Answer:

The rate of change = 3 gallons of water per minute

initial value = 40 gallons of water

Step-by-step explanation:

Initial volume of the bathtub = 40 gallons of water

Average rate of drain = 3 gallons of water per minute

what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining?

The rate of change is 3 gallons of water per minute and initial value is 40 gallons of water

User TomBot
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4.9k points