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Soloha48 [4]
3 years ago
11

An electrician charges a $50 fee to make a service call plus $25 per hour he works. write an equation to represent the relations

hip between the two variables and tell whether or not it is proportional. explain your reasoning.
Mathematics
1 answer:
Kay [80]3 years ago
4 0
If x is the number of calls he makes and y is the number of hours he works;
the total amount he charges is termed as C
C = (50 * x) + (25 * y )
C = 50x + 25y
25y = C - 50x
the 2 variables are not proportional.
For 2 variables to be proportional, they need to be in the form y = mx 
Where m is a constant. When x increases, y too should increase by the same amount. 
The question given x and y are not proportional. As the number of hours he works and number of calls he charges are not dependent on each other. Therefore the 2 variables are not proportional.
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Answer:

See below ~

Step-by-step explanation:

<u>Given</u>

  • Maitri and Aabhas do a work in 12 hours
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<u>Solving</u>

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  • <u>x + y = 12</u> (1)
  • <u>y + z = 15</u> (2)
  • <u>x + z = 20</u> (3)

<u>Take Equation 1 and rewrite it so that it is equal to x.</u>

  • x = 12 - y

<u>Take Equation 2 and rewrite it so that it is equal to z.</u>

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<u>Now, substitute these values in Equation 3.</u>

  • x + z = 20
  • 12 - y + 15 - y = 20
  • -2y + 27 = 20
  • 2y = 7
  • y = 7/2 = <u>3.5 hours [Aabhas]</u>

<u></u>

<u>Substitute the value of y in Equation 1.</u>

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  • x = <u>8.5 hours [Maitri]</u>

<u>Substitute the value of y in Equation 2.</u>

  • 3.5 + z = 15
  • z = <u>11.5 hours [Kavya]</u>

<u></u>

<u>Add the values of x, y, and z together.</u>

  • x + y + z
  • 8.5 + 3.5 + 11.5
  • 12 + 11.5
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