Question

martin just got his first cell phone from worldwide wireless. he paid worldwide wireless an activation fee to start, but the total amount he will spend on the plan depends on how long he has it. this situation can be modeled as a linear relationship. complete the statement that describes the situation. after an activation fee of, the plan will cost martin.

Explanation:

Step1: Find the activation fee

The activation fee is the y - intercept of the linear relationship. When \(x = 0\) (before any months of the plan), \(y=25\). So the activation fee is \(\$25\).

Step2: Calculate the monthly cost

We can use two points on the line. Let's take \((0,25)\) and \((1,50)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1=25,x_2 = 1,y_2 = 50\). Then \(m=\frac{50 - 25}{1-0}=25\). The slope of the line represents the monthly cost.

Answer:

After an activation fee of \(\$25\), the plan will cost Martin \(\$25\) per month.