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vichka [17]
3 years ago
15

Two plumbing companies charge money for each hour of work, plus a one-time fee

Mathematics
1 answer:
Rama09 [41]3 years ago
4 0

Answer:

a. A Plus Plumbing company charges $60 per hour and $80 as one-time fee

b. Quality Plumbing company charges $50 per hour and $150 as one-time fee

c. Yes, they can charge the same amount of $500 for 7 hours of work.

Step-by-step explanation:

Write the linear functions representing both companies charges

<u>A Plus Plumbing Company:</u>

Slope =\dfrac{320-140}{4-1}=\dfrac{180}{3}=60

Equation:

y-140=60(x-1)\\ \\y=60x-60+140\\ \\y=60x+80

<u>Quality Plumbing Company:</u>

Slope =\dfrac{200-150}{1-0}=\dfrac{50}{1}=50

Equation:

y-150=50(x-0)\\ \\y=50x+150

a. A Plus Plumbing company charges $60 per hour and $80 as one-time fee

b. Quality Plumbing company charges $50 per hour and $150 as one-time fee

c. Suppose they charge the same amount of money, then

60x+80=50x+150\\ \\60x-50x=150-80\\ \\10x=70\\ \\x=7

Yes, they can charge the same amount of \$(50\cdot 7+150)=\$500 for 7 hours of work.

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The the known and unknown quantities can be used to write an equation and this gives 60 minutes.

<h3>How to explain the information?</h3>

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