Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same?

(GB means “gigabytes of data.”)

5n = 30 + 3(n – 4)

What are the plans?

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To find the value of n, the number of GB for which Plans A and B cost the same, we can set up an equation.

Let's assume that Plan A costs a constant price per GB, and Plan B has a different constant price per GB. We'll use the variable "k1" to represent the price per GB for Plan A, and "k2" to represent the price per GB for Plan B.

The total cost of Plan A would then be given by "k1n", where "n" represents the number of GB. Similarly, the total cost of Plan B would be "k2n".

Since we want to find the value of n for which the two plans cost the same, we can set up the equation:

k1n = k2n

Simplifying the equation, we have:

k1n - k2n = 0

Factoring out the common term "n", we get:

(n)(k1 - k2) = 0

For the two plans to cost the same, the product (n)(k1 - k2) must equal zero. This means that either n = 0 or k1 - k2 = 0.

If k1 - k2 = 0, it implies that the cost per GB for Plan A and Plan B is the same. In this case, any value of n would make the two plans cost the same.

However, if n = 0, it means that there is no data usage, and both plans would have a cost of zero. This is likely not what we are looking for, as it doesn't represent a scenario where both plans cost the same.

Therefore, the equation that gives the correct value of n, the number of GB for which Plans A and B cost the same, is:

k1 - k2 = 0