The table below shows the relationships between the numbers of hot dogs sold c. And profits made y in dillars which represents the rule of function table

Answer 1

c (hot dogs sold) | y (profits made in dollars)
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10 | $50
15 | $75
20 | $100
25 | $125

In this function table, the relationship between the number of hot dogs sold and profits made is a linear relationship. The rule or equation for this function can be identified by examining the pattern in the table.

From the data in the table, we can see that for every 5 additional hot dogs sold, the profits increase by $25. This means that the rate of change, or slope, of the relationship is $5 per hot dog.

So, the rule or equation for this function can be written as:

y = 5c

This equation represents the relationship between the number of hot dogs sold (c) and the profits made in dollars (y). As the number of hot dogs sold increases, the profits made will increase at a constant rate of $5 per hot dog.