Question

The cost of anti-virus software package is $65 for the first year and $10 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 and y-intercept of the graph of the equation representing this situation?

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A.) The slope is 10, and the y-intercept is 55.
B.)The slope is 10, and the y-intercept is 65.
C.) The slope is 55, and the y-intercept is 10.
D.)The slope is 65 and the y-intercept is 10.

Answer 1

The equation representing the cost of the anti-virus software package is y = 10x + 65. The slope is 10, indicating an increase of $10 per renewal, and the y-intercept is 65, indicating the initial cost without any renewals.

Step-by-step explanation:

The cost of the anti-virus software package is modeled by a linear equation where the independent variable represents the number of annual renewals, and the dependent variable represents the total cost. Initially, there is a cost of $65 for the first year and an additional $10 for each annual renewal. The equation for this relationship would be y = 10x + 65, where 'y' represents the total cost and 'x' represents the number of annual renewals.

The slope of this linear equation is 10, which indicates that for each additional renewal, the cost increases by $10. The y-intercept is 65, meaning when there are zero renewals (x=0), the starting cost is $65. Therefore, the correct answer to the question is 'B) The slope is 10, and the y-intercept is 65.'