Question

The cost of an anti-virus software package is $50 for the first year and

$20 for each annual renewal. If the independent variable is the number
of annual renewals and the dependent variable is the total amount paid,
what is the slope of the graph of the equation representing this situation?

Answer 1

The slope of the graph representing the cost of an anti-virus software package is 20.

Step-by-step explanation:

The independent variable in this situation is the number of annual renewals, and the dependent variable is the total amount paid.

To find the slope of the graph, we can use the formula for a linear equation: y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the y-intercept is $50 (a = 50) because that is the cost for the first year.

The slope is $20 (b = 20) because for each annual renewal, the cost increases by $20.

So, the equation representing this situation is y = 20x + 50, where x is the number of annual renewals.

Therefore, the slope of the graph is 20.