An electrician charges a $50 fee to make a service call plus $25 per hour he works. write an equation to represent the relationship between the two variables and tell whether or not it is proportional. explain your reasoning.

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Mathematics

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9 September, 10:41

An electrician charges a $50 fee to make a service call plus $25 per hour he works. write an equation to represent the relationship between the two variables and tell whether or not it is proportional. explain your reasoning.

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Amira Schultz · Answer 1

If x is the number of calls he makes and y is the number of hours he works;

the total amount he charges is termed as C

C = (50 * x) + (25 * y)

C = 50x + 25y

25y = C - 50x

the 2 variables are not proportional.

For 2 variables to be proportional, they need to be in the form y = mx

Where m is a constant. When x increases, y too should increase by the same amount.

The question given x and y are not proportional. As the number of hours he works and number of calls he charges are not dependent on each other. Therefore the 2 variables are not proportional.