The equation below can be used to model the approximate total revenue based on the number of cars sold at a local dealership.
Revenue = 1,000 + 6,000p
Which of the following is true?
A. The slope is 6,000 and represents the cost of six cars. ***my answer***
B. The slope is 1,000 and represents the change in revenue for each additional car sold.
C. The slope is 1,000 and represents the cost of one car.
D. The slope is 6,000 and represents the change in revenue for each additional car sold.
To determine the correct answer, we need to understand the meaning of slope in this equation. The equation given is: Revenue = 1,000 + 6,000p.
In this equation, "p" represents the number of cars sold at the local dealership, and "Revenue" represents the total revenue generated from those car sales.
The slope of this equation represents how much the revenue changes for each additional car sold. It tells us the rate at which the revenue increases or decreases with respect to the number of cars sold.
Now let's analyze the options:
A. The slope is 6,000 and represents the cost of six cars. This option is not correct because the slope does not represent the cost of cars. It represents the change in revenue for each additional car sold.
B. The slope is 1,000 and represents the change in revenue for each additional car sold. This option is correct. The slope of the equation is 1,000, which means that for each additional car sold, the revenue increases by $1,000.
C. The slope is 1,000 and represents the cost of one car. This option is incorrect because the slope does not represent the cost of cars. It represents the change in revenue.
D. The slope is 6,000 and represents the change in revenue for each additional car sold. This option is incorrect because the slope is actually 1,000. The slope of 6,000 is the coefficient multiplying the variable "p" in the equation, not the slope itself.
Therefore, the correct answer is B. The slope is 1,000 and represents the change in revenue for each additional car sold.