Under his cell phone plan, Zachary pays a flat cost of $68 per month and $5 per gigabyte. He wants to keep his bill at $75.50 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Zachary can use while staying within his budget.
5x + 68 < 75.50, solve for c
What is x?
Under his cell phone plan, Zachary pays a flat cost of $68 per month and $5 per gigabyte. He wants to keep his bill at $75.50 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Zachary can use while staying within his budget.
To determine the number of gigabytes of data Zachary can use while staying within his budget, we need to find the value of xx.
Let's break down the information given in the question:
Flat cost: $68 per month
Cost per gigabyte: $5
We need to find the number of gigabytes of data Zachary can use while keeping his bill at $75.50 per month.
Mathematically, we can represent this situation using an equation:
Total monthly cost = Flat cost + (Cost per gigabyte * Number of gigabytes)
In this case, the total monthly cost is given as $75.50, the flat cost is $68, and the cost per gigabyte is $5. We need to find the number of gigabytes, which we'll represent as xx.
The equation becomes:
75.50 = 68 + (5 * xx)
To solve for xx, we can subtract 68 from both sides of the equation:
75.50 - 68 = 68 - 68 + (5 * xx)
7.50 = 5 * xx
Now, divide both sides of the equation by 5:
7.50 / 5 = (5 * xx) / 5
1.50 = xx
Therefore, Zachary can use 1.5 gigabytes of data while staying within his budget.