Question

question 1-9
a cell phone company charges a one - time activation fee plus a monthly rate for a new line. the total cost, y for a new line is modeled by the equation shown, where x represents the number of months the line is active.
y = 50x + 35
what does the slope represent in this situation?
○ the one - time activation fee
○ the monthly rate for the line
○ the number of months the line is active
○ the total cost after a certain number of months

Explanation:

The equation is in slope - intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the context of the cell phone cost model \(y = 50x+35\), \(x\) is the number of months. The slope (50) should represent the rate that changes with the number of months. The one - time activation fee is a fixed cost (like the y - intercept 35). The number of months is \(x\), and the total cost is \(y\). So the slope (50) represents the monthly rate for the line, as it is the cost per month (multiplied by the number of months \(x\)).

Answer:

the monthly rate for the line