Question

A linear function m models the amount of milk sold by a farm per month. The amount decreases 500 gallons for every $1 increase in price. Graph m when m(0)=3000. Identify the slope. Interpret the x- and y-intercepts of the graph.

Answer 1

Answer:

Slope of the graph $-500$ gallons per dollar.

Intercept is 3000.

Step-by-step explanation:

General format of an equation of a linear graph is;

y=mx+c

Where,

y is the dependent variable

m is the slope of the graph

x is the independent variable of the graph

c is the intercept of the graph.

m(0)=3000 means when we substitute 0 for x values of the graph the y value is 3000. Therefore the intercept is 3000.

Slope of the graph = $\frac{-500gallons}{1dollar}$

                               =$-500$ gallons per dollar.

So we can write the equation as;

$y=-500x+3000$

but in this question y is given as m. Therefore function can be re-written as:

$m=-500x+3000$

The graph is attached with the answer.