Question

Two mobile phone companies have different data rates. Company A has a rate of

$100 for unlimited data, and Company B has a flat fee of $20 plus $5 per gigabyte of data. The point of intersection between these two linear relations is (16, 100).

What does this point of intersection represent?

a) Both phone companies would charge $16 per gigabyte used with a bill of $100.

b) Both phone companies would charge $100 if the customer used 16 gigabytes of data.

c) Both companies would charge $100 with a flat fee of $16.

d) Both companies would charge $16 per gigabyte if the customer used 100 gigabytes.

Answer 1

Answer: Choice B

Step-by-step explanation:

x = number of gigabytes of data used

y = total price

Company A has the equation y = 100. The x variable is not involved since the cost is $100 no matter what.

Meanwhile, company B has the equation y = 5x+20

The slope of 5 indicates how much per gigabyte is charged. The 20 at the end is the flat fee, aka y intercept.

If we were to graph those equations, then we'd find they intersect at (16,100) as mentioned.

This means x = 16 and y = 100 pair up together.

It further tells us that both companies charge the same ($100) when x = 16 gigabytes of data are used.

This points us to choice B as the final answer.