Answer:
- 10.50
- not a constant rate
Explanation:
You want to identify the cost of 3 pounds of hamburger if 2 pounds cost $7.00, and you want to know if the costs for different quantities of tickets represents a constant rate.
Unit rate
The "unit rate" applicable to a given scenario is the ratio of the dependent amount to the independent amount. For costs, it is generally the price divided by the number of items that have that price.
1. 3# hamburger
We expect the cost of hamburger to be proportional to the number of pounds. That is 3 pounds will cost 3/2 times the cost of 2 pounds.
cost for 3# of hamburger = 3/2($7.00) = $10.50
3 lb of hamburger has cost of $10.50.
2. Tickets
The cost per ticket can be found by dividing the cost by the number of tickets. The attachment shows the cost per ticket decreases from $5.75 per ticket to $5.25 per ticket as more tickets are purchased.
A constant rate cannot be used to describe the relation.
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Additional comment
If the costs are proportional , you can find the missing cost several ways. You can add or subtract quantities and their associated costs. For example, the cost of 3# will be the cost of 5# less the cost of 2#, or 17.50 -7.00 = 10.50. It will also be half the cost of 6# = (2# +4#): (7 +14)/2 = 10.50.
Similarly, you can see if the costs for tickets are proportional by comparing the sum of costs for 6 and 8 tickets to the cost for 14 tickets:
34.50 +44.00 = 78.50 ≠ 73.50
This tells you that a constant rate is not being used for the price of a ticket.
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