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The cost of a service call to fix a washing machine can be expressed by the linear function y = 45 x + 35, where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?
the cost for each hour it takes to repair the machine
the cost for coming to look at the machine
the total cost for fixing the washing machine
the amount of time that it takes to arrive at the home to make the repairs

Respuesta :

Answer:

Step-by-step explanation:

In the linear function \(y = 45x + 35\), \(y\) represents the total cost, \(x\) represents the number of hours it takes to fix the machine, and \(45\) is the coefficient of \(x\), which is the slope of the line.

The slope represents the rate of change of \(y\) with respect to \(x\), or in this context, the cost per hour. Therefore, the correct interpretation of the slope is:

**The cost for each hour it takes to repair the machine.**

So, the slope of \(45\) indicates that for each hour it takes to fix the washing machine, the cost increases by $45.

In the given linear function \(y = 45x + 35\), where \(y\) represents the total cost and \(x\) represents the number of hours it takes to fix the machine, the slope of the function represents the rate of change of the total cost with respect to the number of hours.

Therefore, the slope, which is \(45\), represents the cost for each hour it takes to repair the machine.

So, the correct answer is: "the cost for each hour it takes to repair the machine."

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