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Please help me answer a and b on the picture below

Please help me answer a and b on the picture below-example-1

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Provider B electricity would be cheaper for Catherine.

If Stephanie pays the same price for electricity whether she uses provider A or provider B, then she uses 300 kWh of electricity per month.

Which provider would be cheaper for Catherine?

Provider A:

y = x/12 + 15

Provider B:

y = x/20 + 25

1.

If Catherine uses 360 kWh per month

Provider A:

y = x/12 + 15

= 360/12 + 15

= 30 + 15

y = 45

Provider B:

y = x/20 + 25

= 360/20 + 25

= 18 + 25

= 43

Provider B electricity would be cheaper for Catherine

2.

Equate the two providers

x/12 + 15 = x/20 + 25

combine like terms

x/12 - x/20 = 20 - 15

5x-3x/60 = 10

2/60x = 10

x = 10 ÷ 2/60

x = 10 × 60/2

= 10 × 30

= 300 kWh

Therefore, Stephanie uses 300 kWh of electricity per month

User Shibaprasad
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