Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the f
unction p(x)= 45+35x , where x represents the time, in hours, that the plumber used to complete the job. Mr. Barnes budgeted $220 to pay the plumber for the job. After how many hours will the cost of the job exceed Mr. Barnes's budget? WILL PICK THE BRAINLEST.
-15x - 3(5x-1) = 3 [input y] -15x - 15x - 3 = 3 [distribute 3 over 5x and -1] -30x - 3 = 3 [combine like terms] -30x = 6 [add 3 to eliminate the negative] x = [divide by -30 to get x alone] x = [reduce the fraction]
Hopefully this is helpful enough to get you to your answer
The question requires that the equation should be in the slope-intercept form. The and in this equation are constants. In particular:
would represent the slope of this line (also known as the gradient of this line,) whereas
would be the -intercept of this line.
The question states that the slope of this line is . Therefore, . Thus, the equation for this line should be in the form .
The value of constant could be found using the other piece of information: the point is in this line. In other words, the solution should satisfy the equation .
Substitute into the equation and solve for :
.
.
.
Hence, would be the slope-intercept form of the equation of this line.