Question

The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+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?

a-the cost for each hour it takes to repair the machine
b=the cost for coming to look at the machine
c-the total cost for fixing the washing machine
d-the amount of time that it takes to arrive at the home to make the repairs

Answer 1

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

Explanation:

We are given that the cost of a service call to fix a washing machine can be expressed by the linear function

`y=45x+35`

Where

y=Total cost of a service to fix the machine.

x=Number of hours takes to fix the machine

We have to find that slope in this function what represents.

General equation of line is given by

`y=mx+c`

Where m=Slope of line

c=y- intercept

Comparing the general equation with the given function

We get m=45,c=35

m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.

Hence, the slope represents the cost for each hour it takes to repair the machine.

Answer 2

The slope represents the cost for each hour it takes to repair because following the y=mx+b template for an equation m= slope and in this problem 45 is in that place and it is being multiplied to x which has been stated as the hours taken to repair. this shows that 45 is sort of a rate price for each hours. the answer is A.