Question

Verizon offers a phone plan costing three dollars plus an additional $11.75 for each gigabyte of data. Sprint offers a plan that costs $50 plus an additional $7.35 for each gigabyte of data. How many gigabytes would it take for the two plans to cost the same?

Answer 1

To find the number of gigabytes that would make the two plans cost the same, we can set up an equation and solve for x. The answer is approximately 10.68 gigabytes.

Step-by-step explanation:

To find the number of gigabytes that would make the two plans cost the same, we can set up an equation.

Let's let x represent the number of gigabytes.

For Verizon, the cost of the plan is $3 plus an additional $11.75 for each gigabyte of data. So the cost of Verizon's plan would be 3 + 11.75x.

For Sprint, the cost of the plan is $50 plus an additional $7.35 for each gigabyte of data. So the cost of Sprint's plan would be 50 + 7.35x.

We can set up an equation to represent when the two plans cost the same:

3 + 11.75x = 50 + 7.35x

Subtracting 7.35x from both sides gives:

3 + 4.40x = 50

Subtracting 3 from both sides gives:

4.40x = 47

Dividing both sides by 4.40 gives:

x = 10.68

So it would take approximately 10.68 gigabytes for the two plans to cost the same.