Question

>Linear ApplicationPaul is planning to sell bottled water at the local carnival. Paul's profit (in dollars) from selling bbottles of water is given by the formula P(b) = 1.15b - 271.Interpret the Slope in this situation.▼ Paul's profit is increasing at a rate of:

Answer 1

The given information is:

- Paul's profit is given by:P

`P(b)=1.15b-271`

Where b is the number of bottles of water Paul sells.

This equation is written in the slope-intercept form:

`y=mx+b`

Where m is the slope and b is the y-intercept.

In the given equation we have that slope is 1.15 and y-intercept is -271.

So, the slope represents the gradient of the line. And it is given by:

`m=(rise)/(run)`

It represents the change in the y-values over the change in the x-values. If the rate of change is constant and linear, as we h the case, the rate of change is the slope of the line.

So, Paul's profit is increasing at a rate of 1.15 $/bottle of water sold