55.0k views
4 votes
Please help me answer a and b on the picture below

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

1 Answer

1 vote

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
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.