Customers at a deli can buy an unlimited amount of potato salad. The customer is not charged for the weight of the container.
a. The table shows the weight of the container with food and the cost. If ​, what is the price per pound of the potato​ salad? What is the weight of the container in​ pounds? What is the weight of the container and potato salad in​ pounds?
Weight​ (oz)
5
7
9
11
13
Cost​ ($)
1
2
3
4
b. If the store had not accounted for the weight of the​ container, how much would the customer be charged for the​ container? Is the cost of the container the​ same, or does it vary by how much potato salad is​ purchased? Explain.

Respuesta :

a. The weight of the container in pounds is 0.1875 (3/16).

The  weight of the potato salad in pounds is 0.125 (2/16).

b. If the store had not accounted for the weight of the container, the customer would be charged $0.60 ($1 x 3/5).

The container's cost is the same and does not vary per potato salad.  The assertion is based on the fact that the cost of the container is fixed and does not vary with the quantity of salad.

Data and Calculations:

       Weight​ (oz)     Costs ($)    Weight (lbs)

              5                  1                 0.3125

              7                  2                0.4375

              9                  3               0.5625

             11                  4                0.6875

            13                  5                0.8125

A pound is 16 ounces.

Thus, if 5 oz cost $1 and 7 oz cost $2, it means that 3 oz are the weight of the container and 2 oz (5 - 3) is the weight of the potato salad because 2 oz  (7 - 5) of potato salad costs $1, and the cost of 1 oz is $0.50 ($1/2).

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