Question

I want to start a lemonade stand and determine how much lemonade I need to sell to break even each day.

Answer 1

.50x -5=0
Add 5 to both sides
.50x=5
Divide both sides by.5

X =10. You must sell 10 to break even

The slope is .50
The y intercept is -5

Answer 2

Answer:

Total cost spent on supplies = 5 dollars

Lemonade will be sold at 0.5 dollars.

Let the total glasses of lemonade sold be x

So, revenue generated will be = 0.5x

To get the break even we will equal both.

$0.5x=5$

$x=5/0.5$

x = 10

Hence, number of glasses to be sold are 10.

The profit or y can be found as;

$y=0.5x-5$

So, putting x = 11

$y=0.5(11)-5$

y = 0.5

Putting x = 12

$y=0.5(12)-5$

y = 1

Putting x = 13

$y=0.5(13)-5$

y = 1.5

The slope is 0.5.

The y-intercept is -5. This means if 0 glasses of lemonade are sold then there is a loss of $5.

The y intercept is obtained when x=0.

$y=0.5(0)-5$

y = -5

The x-intercept is 10 or the number of glasses I must sell to break even.