Question

Jimmy is filling a pool with water. The pool has 78 gallons already inside. The hose is filling it at a rate
of 3 gallons per minute. What is the rate of change and the y-intercept for this problem

Answer 1

The rate of change of a linear function is the slope of the function.

The y-intercept and the rate of change for this problem are 78 and 3, respectively.

The given parameters are:

$\mathbf{Initial = 78\ gallons}$

$\mathbf{Rate = 3\ gallons/ minute}$

The initial amount in the pool is the y-intercept.

So, we have:

$\mathbf{y-intercept = 78\ gallons}$

The rate at which Jimmy fills the pool is the rate of change.

So, we have:

$\mathbf{Rate\ of\ change = 3\ gallons/ minute}$

Hence, the y-intercept and the rate of change for this problem are 78 and 3, respectively.

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