Question

remy sets up a lemonade stand and charges $0.75 per cup of lemonade. the initial cost of buying the supplies is $8. the total amount earned, y, by selling x cups of lemonade can be modeled by the following linear equation, y = 0.75x - 8. which is an appropriate interpretation of the y - intercept of the graph? it represents the amount of zero cups of lemonade sold, corresponding to the $8 spent on supplies. it represents the number of 8 cups of lemonade sold, corresponding to the money spent on supplies. it is the number of cups of lemonade that need to be sold in order for remy to gain back exactly $8. it means that every $0.75 cup of lemonade cost $8 to make.

Explanation:

The y-intercept of a linear equation $y=mx+b$ occurs when $x=0$. For the equation $y=0.75x-8$, substituting $x=0$ gives $y=-8$. This negative value represents the initial $8 cost of supplies when 0 cups of lemonade are sold, as it is a net loss (negative earnings) at the start.

Answer:

It represents the amount of zero cups of lemonade sold, corresponding to the $8 spent on supplies.