auy
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The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variable
The equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased is:
c = 7s
In this equation, the independent variable is the number of student tickets purchased (s), and the dependent variable is the total cost (c). This means that the total cost depends on how many student tickets are purchased, and the number of student tickets is independent and can be chosen freely.
Input (x) Output (y)
32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.
From the given inputs and outputs, we see that the function involves subtraction of the input from 32 to get the output.
Input (x) Output (y)
32 20
14 2
26 6
28 4
18 14
22 10
Function rule: y = 32 - x.
This is a linear function with a slope of -1 and a y-intercept of 32.