Question

Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte. She wants to keep her bill at $75.10 per month. Write and solve an equation which can be used to determine x, the number of gigabytes of data Aubrey can use while staying within her budget.​

A) 4.4 gigabytes
B) 3.5 gigabytes
C) 5 gigabytes
D) 4 gigabytes

Answer 1

To determine the number of gigabytes of data Aubrey can use while staying within her budget, set up the equation $57.50 + $4x = $75.10 and solve for x. The answer is 4.4 gigabytes.

Step-by-step explanation:

To determine the number of gigabytes of data Aubrey can use while staying within her budget, we can set up an equation. Let's assume Aubrey uses x gigabytes of data. The total cost of her plan will be the flat cost of $57.50 plus the cost of gigabytes, which is $4 times x. This total cost should be equal to her desired budget of $75.10. We can write this equation as:

$57.50 + $4x = $75.10

To solve for x, we can first subtract $57.50 from both sides of the equation:

$4x = $17.60

Then, we divide both sides of the equation by $4:

x = $17.60/$4 = 4.4

Therefore, Aubrey can use 4.4 gigabytes of data while staying within her budget.