Sarah needs to find a plumbing company to fix the plumbing in her house. Pat’s Plumbing Company charges a flat rate of $650 to inspect the house plus $25.75 per hour of labor to fix the problem. Her friend Kristin tells her that AAA Plumbing will charge a fee on $675 to inspect the house and an hourly fee of $24.50 for labor. Kristin knows that AAA Plumbing will cost no more than Pat’s Plumbing Company. Which inequality correctly shows the relationship between the total cost of the two plumbing companies?

An inequality correctly shows the relationship between the total cost of the two plumbing companies is

Step-by-step explanation:

Pat’s Plumbing Company

Cost of inspecting house = $650

Cost of labor per hour = $25.75

Cost of labor in x hours = 25.75x

Total cost = 650+25.75x

AAA Plumbing

Cost of inspecting house = $675

Cost of labor per hour = $24.50

Cost of labor in x hours = 24.5x

Total cost = 675+24.5x

We are given that AAA Plumbing will cost no more than Pat’s Plumbing Company

Hence An inequality correctly shows the relationship between the total cost of the two plumbing companies is

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have