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egoroff_w [7]
4 years ago
5

A plumber charges an initial amount to make a house call plus an hourly rate for the time he is working. A 1 hour job costs $90

and a 3 hour job costs $210. What is the initial amount and hourly rate that the plumber charges. Show work.
Mathematics
2 answers:
TEA [102]4 years ago
6 0
He charges 30 as the intial amount and 60 per hour(60 plus 30 is 90 and 60 times 3 is 180 plus 30 is 210)
Troyanec [42]4 years ago
5 0

Answer:

<h2>The hourly ratio is $60 per hour, and the initial amount charged would be $30.</h2>

Step-by-step explanation:

In this problem, we just have to find the linear relation that model this situation, where the rate would be the slope, and the initial amount would be the y-axis interception. So, basically we have to find the slope-intercept form of this linear relation.

First, we finds the slope using the two given points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{210-90}{3-1}=\frac{120}{2}=60

Now, using one point, the slope and the point-slope form, we have:

y-y_{1}=m(x-x_{1})\\ y-90=60(x-1)\\y=60x-60+90\\y=60x+30

Therefore, the hourly ratio is $60 per hour, and the initial charge would be $30.

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The area of the triangle ABC is 207.5 square units.

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