A phone company charges a monthly rate of 10 dollars for the first 50 text messages and charges $0.05 for every text message after the first 50 messages
Write an equation in two variables that represent the monthly cost of text message services
y=0.5x+10
y = .05(x-50) +100
If total number of text messages = x
To write an equation that represents the monthly cost of text message services, we need to consider the following:
The monthly cost consists of two parts: a fixed cost for the first 50 text messages and a variable cost for any additional text messages.
Let's define:
x - the number of text messages sent in a month
y - the monthly cost for text message services
The fixed cost for the first 50 text messages is $10, so this is the starting point in the equation.
For any additional text messages beyond the first 50, there is a charge of $0.05 per text message, hence the variable cost can be represented by 0.05(x-50), as we subtract the initial 50 messages.
Putting it all together, the equation that represents the monthly cost of text message services is:
y = 10 + 0.05(x - 50)
Simplifying further, we get:
y = 10 + 0.05x - 2.5
Or rearranging:
y = 0.05x + 7.5
So the equation in two variables representing the monthly cost of text message services is:
y = 0.05x + 7.5.