Question

Carpenter 4-U charges a consultation fee of $50. Once he starts a job, he charges $45 an hour. Part A Give a linear equation to represent the cost y of hiring Carpenter 4-U for x hours. Part B What is the slope of this equation? What is the y-intercept of this equation?1 Give a linear equation to represent the cost of y hiring carpenter-4u for x hours 2 what is the slope of the equation 3 what is the y intercept in this equation 4 Determine the cost of having the -4u remodel a basement if it takes him 20 hours

Answer 1

Given the information on the problem, we can write the following expression to represent the cost of hirigin Carpenter 4 U:

$y=50+45x$

where 'y' is the total cost and 'x' is the number of hours.

next, we know that the slope-intercept equation of the line is:

$y=mx+b$

then, in this case, the slope is m = 45 and the y-intercept is b = 50

Finally, if we decided to hire Carpenter 4U for 20 hours, then we have to make x = 20 and solve for y:

$\begin{gathered} x=20 \\ \Rightarrow y=50+45(20)=50+900=950 \\ y=950 \end{gathered}$

therefore, it will cost $950 for 20 hours of work