Question

this graph shows how the amount of peanut butter whitney has left is related to the number of sandwiches she makes. if whitney makes 3 sandwiches, how many ounces of peanut butter will she have left? 7 ounces 5.5 ounces 6 ounces 4 ounces

Explanation:

Step1: Analyze the graph

The graph has the number of sandwiches on the x - axis and ounces of peanut butter remaining on the y - axis. We need to find the y - value when the x - value (number of sandwiches) is 3.

Step2: Locate x = 3 on the graph

Find the point on the line where the x - coordinate is 3. Then check the corresponding y - coordinate. From the graph, when the number of sandwiches (x) is 3, we look at the y - axis (ounces of peanut butter remaining). By observing the line, when x = 3, the y - value (ounces remaining) is 5.5? Wait, no, wait. Wait, let's re - check. Wait, the y - intercept is 8.5? Wait, no, the line starts at (0, 8.5)? Wait, no, the first point is (0, 8.5)? Wait, no, looking at the grid, when x = 0, y = 8.5? Wait, no, the grid lines: each square is 1 unit. Wait, the line goes from (0, 8.5) to (8, 0)? Wait, no, let's calculate the slope. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 8.5}{8 - 0}=-\frac{8.5}{8}=- 1.0625$? Wait, no, maybe I misread the y - intercept. Wait, the graph: when x = 0, the y - value is 8.5? Wait, no, the first grid line on the y - axis: the top is 10, then 9, 8, 7, 6, 5, 4, 3, 2, 1, 0. The line starts at (0, 8.5)? Wait, no, looking at the line, when x = 0, y is 8.5? Wait, no, maybe the y - intercept is 8.5, and the line goes to (8, 0). So the equation of the line is $y=mx + b$, where $b = 8.5$ and $m=\frac{0 - 8.5}{8-0}=-\frac{8.5}{8}=-1.0625$. When x = 3, $y=8.5-1.0625\times3=8.5 - 3.1875 = 5.3125\approx5.5$. Wait, but let's check the options. The options are 7, 5.5, 6, 4. So the closest is 5.5. Wait, but maybe I made a mistake. Wait, another way: the total peanut butter is 8.5 ounces (at x = 0). Each sandwich uses $\frac{8.5}{8}=1.0625$ ounces. For 3 sandwiches, the amount used is $3\times1.0625 = 3.1875$ ounces. So remaining is $8.5 - 3.1875=5.3125\approx5.5$ ounces.

Answer:

5.5 ounces (the option: 5.5 ounces)