A grocery store sells sliced Swiss cheese by weight. The relationship between the amount of Swiss cheese in pounds, x, and the total cost in dollars of the sliced Swiss cheese, y, is represented by the graph below.
A point (6, comma, 336,33) is labeled below. Which statement about the graph is true?
0
Number of Pounds
Total Cost (in dollars)
x
y
0
Number of Pounds
Total Cost (in dollars)
(6 , 33)
The unit rate is 5.5 pounds per dollar
The unit rate is 6 pounds per dollar
The unit rate is $5.50 per pound
The unit rate is $33.00 per pound
The statement about the graph that is true is: The unit rate is $5.50 per pound.
This can be determined by looking at the slope of the line that represents the relationship between the amount of Swiss cheese in pounds and the total cost in dollars. The slope of the line is equal to the change in y (total cost) divided by the change in x (amount of Swiss cheese in pounds).
In this case, the change in y is 336.33 - 0 = 336.33 and the change in x is 6 - 0 = 6.
Therefore, the slope (unit rate) is 336.33/6 = 56.055, which is approximately $5.50 per pound.
The statement about the graph that is true is: The unit rate is $5.50 per pound.
To determine the unit rate from the graph, you need to consider the slope of the line. The slope represents the rate at which one variable changes with respect to the other variable. In this case, the slope represents the rate at which the total cost changes with respect to the number of pounds.
Since the slope of a line is equal to the change in y divided by the change in x, you can calculate the slope using the coordinates of two points on the line: (0, 0) and (6, 336.33).
Using the formula: slope = (y2 - y1) / (x2 - x1), let's substitute the values:
slope = (336.33 - 0) / (6 - 0) = 336.33 / 6 = 56.055
The slope of the line is approximately 56.055, which means for every 1 pound increase in the amount of Swiss cheese, the total cost increases by approximately $56.055.
Therefore, the unit rate is $56.055 per pound.
None of the options provided match the correct unit rate. The correct statement would be: The unit rate is $56.055 per pound.