Al the plumber charges $50 to make a house call. He then charges $25 per hour. Write an equation in slope intercept form that shows how much Al would charge for a plumbing job (without charging for parts).
Let y be the total amount charged by Al for a plumbing job and x be the number of hours worked. The equation in slope-intercept form would be:
y = 25x + 50
Let's define the variables in this problem.
Let x represent the number of hours Al spends on a plumbing job.
Let y represent the total amount Al charges for the plumbing job.
According to the given information, Al charges $50 for a house call and an additional $25 per hour spent on the job.
The equation relating the total charge (y) to the number of hours spent (x) can be written as:
y = 25x + 50
This is the equation in slope-intercept form, where the slope is 25 (the rate per hour) and the y-intercept is 50 (the charge for the house call).
Hence, the equation in slope-intercept form that shows how much Al would charge for a plumbing job (without charging for parts) is y = 25x + 50.
To write the equation in slope-intercept form, we need to find the slope (rate) and the y-intercept (initial charge).
Given that Al charges $50 for a house call (y-intercept) and $25 per hour (slope), we can express the equation as:
y = mx + b
Where:
y is the total cost of the plumbing job.
m is the slope (the rate per hour).
x is the number of hours.
b is the y-intercept (the initial charge).
In this case, the slope (m) is $25 per hour, and the y-intercept (b) is $50. Therefore, the equation would be:
y = 25x + 50
This equation represents the total cost (y) of a plumbing job without factoring in the cost of parts, based on the number of hours (x) worked.