Question

I want to start a lemonade stand and determine how much lemonade i need to sell to break even each day. If i know i spend $5 on supplies and sell the lemonade at $0.50 per glass determine the number of glasses i must sell to break even. After you find the number of glasses tell me what the x-intercept, y-intercept, and slope represent in the function you determined.

Answer 1

Answer:

you need to sell 10 glass. X intercept is (10,0) and Y intercept is (0,-5) the slope of the equation is 0.5

Step-by-step explanation:

Consider the provided information.

Let x is the number of glass and y is the money earn.

It is given that you spend $5 on supplies and sell the lemonade at $0.50 per glass.

This can be written as:

$y=0.5x-5$

We need to determine the number of glasses you must sell to break even. So put y=0 and solve for x.

$0=0.5x-5$

$5=0.5x$

$10=x$

Thus, you need to sell 10 glass.

Now we need to find the x-intercept, y-intercept, and slope

First find x intercept: To find x intercept substitute y=0 and solve for x.

$0=0.5x-5$

$5=0.5x$

$10=x$

X intercept is (10,0)

Find y intercept: To find y intercept substitute x=0 and solve for x.

$y=0.5(0)-5$

$y=-5$

Y intercept is (0,-5)

The slope intercept form is: y=mx+c

where m is slope.

Now compare y=0.5x-5 with y=mx+c we can concluded that the slope of the equation is 0.5