Question

A cooking group made 240 oz of spaghetti sauce to sell at a county fair. The group can pour the sauce into small jars that hold 8 oz and large jars that hold 16 oz. The group leader made a sketch to show the line representing the different combinations of jar sizes the group can use. The x-axis represented the number of small jars and the y-axis represented the number of large jars. The group leader labeled only the intercepts. Which points did the group leader label? (0, 8) and (16, 0) (0, 30) and (15, 0) (0, 15) and (30, 0) (0, 16) and (8, 0)

Answer 1

First, find the function that represents x and y.

x is the number of 8 oz jars
y is the number of 16 oz jars

function: 8x + 16y = 240

x-intercept: y = 0 => 8x = 240 => x = 30 => (30,0)
y-intercept: x = 0 => 16y = 240 => y = 15 => (0, 15)

Answer: (0,15) and (30,0)