Respuesta :

Answer:

80 cups of water will be needed.

Step-by-step explanation:

Let the equation that represents the amount of lemonade mix (y) and the cups of water needed (x) for second recipe is,

y = mx

Here, m = rate of change (amount of water required for a cup of lemonade mix)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{65-50}{13-10}[/tex] = 5

Therefore, equation will be,

y = 5x

If x = 16,

y = 5×(16)

y = 80 cups

Therefore, 80 cups of water will be needed to prepare 16 cups of lemonade mix.