Question

a home internet plan has an activation fee of $100. each month of unlimited service costs $50. write an equation to model the cost of the internet plan.
identify the variables.
___ represents the
___ represents the
identify the initial value.
initial value: $___
find the rate.
rate: $___
write the equation.
equation: ___

Explanation:

Step1: Identify variables

Let \( x \) represent the number of months and \( y \) represent the total cost.

Step2: Determine initial value

The activation fee is the initial value. So, initial value: \(\$100\).

Step3: Find the rate

The cost per month is the rate. Rate: \(\$50\) per month.

Step4: Write the equation

Using the slope - intercept form \( y=mx + b\) (where \(m\) is the rate and \(b\) is the initial value), the equation is \(y = 50x+100\).

Answer:

Initial value: \(\$100\)
Rate: \(\$50\) per month
Equation: \(y = 50x + 100\)