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An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B has a $5 membership fee and is $12 per month.

Write a System of Equations that represents the 2 plans

For which months is Plan A the less expensive option? For which months is Plan B
the less expensive option?

Respuesta :

timo86

Answer:

Plan A : f(x) = 25 + 8x

Plan B : f(x) = 5 + 12x

Plan A is better if used for more than 5 months (5 - ∞), plan B for 1 - 4 months

Step-by-step explanation:

x represents months

Plan A : f(x) = 25 + 8x

Plan B : f(x) = 5 + 12x

The equilibrium is when both of these functions have the same value

25 + 8x = 5 + 12x

4x = 20

x = 5

Now we compare these two plans before the 5 months,

e. g. when x = 2

The cost of plan A: 25 + 8x = 25 + 8 * 2 = 41$

The cost of plan B: 5 + 12x = 5 + 12 * 2 = 29$

Since 41$ > 29$, for 1-4 months plan B is a cheaper option, then after 5 months the costs of these two plans are equal and then plan A will be the cheaper aka less expensive option.

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