Question

cell phone plan a charges $25 per month plus $10 per gigabyte of data. cell phone plan b charges $50 per month plus $5 per gigabyte of data. what number of gigabytes of data results in the same cost for one month? gigabyte(s)

Explanation:

Step1: Define variables and cost equations

Let $x$ = number of gigabytes.
Cost of Plan A: $C_A = 25 + 10x$
Cost of Plan B: $C_B = 50 + 5x$

Step2: Set costs equal to each other

$25 + 10x = 50 + 5x$

Step3: Isolate $x$ terms

$10x - 5x = 50 - 25$
$5x = 25$

Step4: Solve for $x$

$x = \frac{25}{5} = 5$

Answer:

5 gigabyte(s)