Two plumbers charge an initial fee and an hourly rate.
The equation y = 100 + 30x models plumber A's fee, where y is the total charge, in dollars, and x is the number of
hours worked
The table shown represents plumber B's total charge for different numbers of hours.
Plumber B
Hours Total Charges ($)
1
105
2.
160
3
215
2.
Part A: Which plumber charges more money per hour? Explain how you know.
Part B: Which plumber charges a higher initial fee? Explain how you know.
Part C: Which plumber charges less money for working 5 hours? Show your work to justify your answer.
Answers
Answer:
A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105
B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.
C) Plumber A: 250=100+30(5) Plumber B: 325=50+55(5)
Plumber A charges less money for working 5 hours.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that,
Two plumbers charge an initial fee and an hourly rate.
The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.
Part A:
From the table, we have (1, 105) and (2, 160)
Now, m=(160-105)/(2-1)
= 55
Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get
105=55(1)+c
c=60
Substitute m=55 and c=60 in y=mx+c, we get
y=55x+60 -----(II)
By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.
Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.
Part C: Substitute x=5 in y=100+30x, we get
y=$250
Substitute x=5 in y=55(5)+60, we get
y=$335
Plumber A charges less money for working 5 hours.
Therefore, plumber A charges more initial fee.
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If I wrong i'm really sorry
Step-by-step explanation:
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Suomt Ang
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32 / 114 Marks
Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search
Answers
Step-by-step explanation:
4(2x-1)+3(2x+5)
8x-4+6x+15
8x+6x-4+15
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Answer:
14x +11
Step-by-step explanation:
4(2x-1)+3(2x+5)=8x-4+6x+15
=14x+11
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Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)
Austin Moore has been working in a factory for 28 years. He is preparing to retire. His pension is calculated on the average of his last 3 years’ salaries where he earned $48,592, $47,590, and $47,710. His employer will give him 1.8% of that average for each year he worked. Calculate his pension.
Answers
Answer:24,173.856
Step-by-step explanation: you calculate the average of the last 3 years then find 1.8% of that number and then multiple by 28 years to find his total pension
Answer:
★ The answer is 24,173.856
Step-by-step explanation:
Hope you have a great day
Helga invested $1000 at 5% interest, compounded annually. What is the total amount of interest that Helga will have earned by the end of the fourth year? Express your answer to the nearest dollar.
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