Studdy AI Logo
Math

Question Suav pays a flat $39\$ 39 monthly fee and $4\$ 4 per GB. He wants to keep his bill at $45.40\$ 45.40. Find the number of GB xx he can use within his budget.

Studdy Solution

STEP 1

Assumptions
1. The flat cost of the cell phone plan is 39permonth.<br/>2.Thecostpergigabyteis39 per month.<br />2. The cost per gigabyte is 4.
3. Suav wants to keep his bill at 45.40permonth.<br/>4.Weneedtofind45.40 per month.<br />4. We need to find x$, the number of gigabytes Suav can use.

STEP 2

Let's set up an equation where xx represents the number of gigabytes Suav can use. The total cost is the sum of the flat cost and the cost per gigabyte times the number of gigabytes.
Total cost=Flat cost+(Cost per gigabyte×Number of gigabytes)Total\, cost = Flat\, cost + (Cost\, per\, gigabyte \times Number\, of\, gigabytes)

STEP 3

Now, we can write the equation using the given values and the variable xx for the number of gigabytes.
45.40=39+4x45.40 = 39 + 4x

STEP 4

To solve for xx, we first need to isolate the variable on one side of the equation. We can do this by subtracting the flat cost from both sides of the equation.
45.40−39=4x45.40 - 39 = 4x

STEP 5

Perform the subtraction on the left side of the equation.
6.40=4x6.40 = 4x

STEP 6

Now, to find the value of xx, we divide both sides of the equation by the cost per gigabyte, which is $4.
6.404=4x4\frac{6.40}{4} = \frac{4x}{4}

STEP 7

Perform the division to solve for xx.
x=6.404x = \frac{6.40}{4}

STEP 8

Calculate the value of xx.
x=1.6x = 1.6
Suav can use 1.6 gigabytes of data to keep his bill at $45.40 per month.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord