Question

Sanjay consulted three electricians about upgrading the wiring in his home. Each electrician uses a linear formula that incorporates a flat base fee and an hourly rate to determine the cost of service. Those formulas are shown in the table.
Repair Cost Formulas
electricion Cost in y dollars for an x-hour service
1 y=25x+30

2 y=30x+25

3 y=25x+20

a.Each electrician charges a different hourly rate.
b.Each electrician charges a different base fee.
c.All three electricians charge the same hourly rate.
d. All three electricians charge the same base fee.



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Answer 1

Answer: b.Each electrician charges a different base fee.

Answer 2

Answer:
b.Each electrician charges a different base fee:

Explanation:
Each of the equations has two parts:
1- base fee that is independent of any variable (this would be the number that has no variable next to it)
2- an hourly rate depending on the number of hours x (this would be the number that has an x next to it)

For the first electrician:
y = 25x + 30
base fee = $30
hourly rate = $25

For the second electrician:
y = 30x + 25
base fee = $25
hourly rate = $30

For the third electrician:
y = 25x + 20
base fee = $20
hourly rate = $25

Now, let's check the choices:
a.Each electrician charges a different hourly rate:
This is incorrect as electricians 1 and 3 charge the same hourly rate ($25)

b.Each electrician charges a different base fee:
This is correct as all three base fees are different ($30, $20 and $25)

c.All three electricians charge the same hourly rate:
This is incorrect as electrician 2 has a different hourly rate

d. All three electricians charge the same base fee:
This is incorrect as the base fees for the three electricians are different ($30, $25 and $20)

Hope this helps :)