A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form y = mx + b to determine the amount to charge each customer. What is the value of m in the equation?

Question

London Davila

Mathematics

17 April, 23:29

A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form y = mx + b to determine the amount to charge each customer. What is the value of m in the equation?

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Answers (2)

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Enrique Stein · Answer 1

m = $25

Step-by-step explanation:

The equation that the plumber is using 'y = mx + b' represent a linear equation. A linear equation shows a relationship between two set of data where the change is constant. In the case of the plumber, his rate is $25 per hour, so for every hour, he charges the same amount. So, as each hour increases, the rate increases another $25. In the equation y = mx + b, y = the total (dependent variable), m = rate of change, x = the number of hours (independent variable) and b = initial value. The $45 fee is the initial value or charge regardless of the number of hours worked. So, m = $25, which is the rate per hour.

Alden · Answer 2

m = $25

Step-by-step explanation:

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