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 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

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Cathi Cathi · Answer 1 · 2019-07-15T05:25:41+02:00

.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

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chisnau chisnau · Answer 2 · 2019-07-25T10:41:34+02:00

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.

[tex]0.5x=5[/tex]

[tex]x=5/0.5[/tex]

x = 10

Hence, number of glasses to be sold are 10.

The profit or y can be found as;

[tex]y=0.5x-5[/tex]

So, putting x = 11

[tex]y=0.5(11)-5[/tex]

y = 0.5

Putting x = 12

[tex]y=0.5(12)-5[/tex]

y = 1

Putting x = 13

[tex]y=0.5(13)-5[/tex]

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.

[tex]y=0.5(0)-5[/tex]

y = -5

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