12. An electrician charges a 45.00 dollars travel fee plus 30.00 dollars per hour of labor. Let y be the cost in dollars for x hours of work. Write the slope-intercept form of the equation.
13. Using the equation from number 12, if the electrician works 3 hours on a job, how much will the bill be?
14. Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
To find the slope-intercept form of the equation, let's break down the given information:
The electrician charges a $45 travel fee plus $30 per hour of labor.
We can represent the cost for x hours of work, y, as:
y = 30x + 45
Here, the slope of the equation is 30, which represents the cost per hour of labor, and the y-intercept is 45, which represents the initial travel fee.
Moving on to the next question:
13. To find the cost when the electrician works 3 hours, we substitute x = 3 into the equation we derived earlier:
y = 30(3) + 45
y = 90 + 45
y = 135
Therefore, the bill will be $135 when the electrician works for 3 hours.
Lastly, let's move on to question 14:
14. To determine the maximum number of hours the electrician can work within a budget of $300, we set the cost equation equal to the budget and solve for x:
300 = 30x + 45
Subtract 45 from both sides:
255 = 30x
Divide both sides by 30:
x = 255/30
x ≈ 8.5
Therefore, the electrician can work a maximum of 8.5 hours without exceeding the budget.
#12. This is just like #10 from your previous post
#13. Now plug in x=3
#14. Plug in y=300 and solve for x. Round down if needed.