State the practical meaning of the slope and y-intercept for the situation described.The value, in dollars, of a particular KX37B computer is given by V = -412.48x + 6843, where x is the number of years the computer has been in existence.
Answer
A
-412.48 signifies the amount of depreciation in one year, and 6843 signifies the initial cost.
B
-412.48 signifies the number of computers owned, and 6843 signifies the cost of electricity.
C
-412.48 signifies the hourly cost of repairs, and 6843 signifies the cost of software.
D
6843 signifies the amount of depreciation in one year, and -412.48 signifies the initial cost.
Explanation
In the equation V = -412.48x + 6843, the slope is -412.48, so the computer’s value decreases by $412.48 for each year it has existed. The y-intercept is 6843, the value when x = 0, so it represents the computer’s initial cost of $6,843. This matches choice a.
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