Question

this graph shows how the amount of peanut butter judy has left is related to the number of sandwiches she makes. ounces of peanut butter remaining peanut butter remaining (ounces) 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 number of sandwiches made if judy makes 4 sandwiches, how many ounces of peanut butter will she have left? ounces submit video questions answered 7 time elapsed 00 13 00 min min sec smartscore out of 100 24

Explanation:

Step1: Analyze the graph

The graph is a linear plot with the x - axis as the number of sandwiches made and the y - axis as the ounces of peanut butter remaining. The line passes through (0, 8) and (8, 0).

Step2: Find the equation of the line

The slope \(m\) of the line is \(\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 8}{8 - 0}=\frac{- 8}{8}=- 1\). Using the slope - intercept form \(y=mx + b\), where \(b = 8\) (the y - intercept), the equation of the line is \(y=-x + 8\).

Step3: Substitute \(x = 4\) into the equation

When \(x = 4\), \(y=-4 + 8=4\). Or we can directly read from the graph: when the number of sandwiches (x - value) is 4, we look at the corresponding y - value on the line. From the grid, when \(x = 4\), the y - value (ounces of peanut butter remaining) is 4.

Answer:

4