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A mobile company has the following plans on their website. STANDARD PLAN: $40 for 5GB (potential starting point) and $15/GB thereafter (this is a rate of change, so it could be a slope)

UNLIMITED PLAN: $80 Always, with no additional charges.

The equation for the unlimited plan is y=80.
Write an equation (y=mx+c) for the standard plan.
IT IS NOT Y=15X+40

Respuesta :

beicker

Answer:

Let subscription fee x and storage space be y

[tex]{ \rm{y = mx + c}} \\ { \rm{40 = (5 \times m) + c}} \\ { \rm{40 = 5m + c - - - (eqn \: a)}}[/tex]

But there is a constant plan of $80

[tex]{ \rm{40 = 5m + 80}} \\ { \rm{5m = - 40}} \\ { \rm{m = - 8}}[/tex]

Our equation becomes:

[tex]{ \rm{y = 8x + 80}}[/tex]

semsee45

Answer:

y = 15x - 35

Step-by-step explanation:

STANDARD PLAN information:

  • $40 for 5GB.
  • $15 per GB thereafter.

Define the variables:

  • Let x be the number of GB.
  • Let y be the cost in dollars.

If it costs $40 for the first 5GB then y = 40 when 0 ≤ x ≤ 5.

It costs $15 per GB after the first 5GB. Therefore:

  • When x = 6, y = 40 + 15 = 55.
  • When x = 7, y = 40 + 15(2) = 70.
  • When x = 8, y = 40 + 15(3) = 85.

Therefore:

⇒ y = 40 + 15(x - 5)

⇒ y = 40 + 15x - 75

⇒ y = 15x - 35

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