Question

1. Movieworld has created an equation that shows the relationship between their profits and the number ofDVD's they rent. The equation is y = .75x - 450, where x is the number of DVD's they rent and y is theirprofita. What is the dependent variable?b. What is the independent variable?c. What is the slope (rate of change)?d. Why is this important for Movieworld?e. What is the y-intercept (initial condition)?f. What does this value mean for Movieworld?g Graph the equation in your calculator and find the x-intercept (zero). Why is this numberimportant? (hint: look at the behavior of the line before and after this point)

Answer 1

The given equation is

`y=0.75x-450`

a. The dependent variable is y, which represents their profit.

b. The independent variable is x, which represents the number of DVDs.

c. The rate of change or the slope is 0.75 because that's the coefficient of x.

d. This equation is important for them because it allows predicting the profits after the rent of a certain number of DVDs.

e. The y-intercept or initial condition is 450, which is the starting investment.

f. The value 450 represents the initial amount of money they had to invest when they start renting DVDs.

g. The following graph shows the line and the x-intercept.

As you can observe, the x-intercept is (600,0) it means they would reach the breakeven point after renting 600 DVDs.