Question

What is the slope of the given profit function? Tell what it means
P=1.25x-300

Answer 1

Slope: 1.25

Interpretation: for every additional product that is sold, there is $1.25 more in profit.

Explanation:

The function is given in slope-intercept form which generally looks like the following:
`y=mx+b`, where m = slope and b = y-intercept.

In this form the coefficient of the "x" variable, or in general the independent variable, is the slope.

So in this case, to find the slope just look at the coefficient of "x" in the equation given:
`P=1.25x-300` and since the 1.25 is the coefficient, that's the slope.

Now to interpret the slope, we need to first understand what the slope generally is describing. The slope of a linear equation, is simply how much the y-value changes every time the x-value increases by one.

I'm assuming in this context that the "x" represents how much of a certain product is sold, so the slope in this context means, for every additional product that is sold, there is $1.25 more in profit.