A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 plus an additional $0.12 for
each minute of calls.

For what amount of calling do the two plans cost the same?

What is the cost when the two plans cost the same?

Answer :

mhanifa

Answer:

  • 425 min
  • $80

Step-by-step explanation:

The equation to reflect the monthly plans:

  • Plan A f(x) = 0.16x + 12
  • Plan B g(x) = 0.12x + 29

We need to find the value of x when f(x) = g(x):

  • 0.16x + 12 = 0.12x + 29
  • 0.16x - 0.12x = 29 - 12
  • 0.04x = 17
  • x = 17/0.04
  • x = 425 minutes

The cost is:

  • $0.16*425 + $12 = $80

If we put on equations

  • y=0.16x+12
  • y=0.12x+29

Amount of calling is x and cost is y

solve

  • 0.16x+12=0.12x+29
  • 0.04x=17
  • x=17/0.04
  • x=425min

Cost

  • 0.12(425)+29=$80

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