The data in the table below represents a linear relationship. Based on the table of values, which equation can be used to describe the relationship between x and y?

Explanation:

A linear relationship is usually represented by the equation, , where m = slope, and b = y-intercept.

Find m and b to derive an equation that describes the relationship between x and y.

Hours since 4 p.m is the x-variable and number of tickets remaining is the y-variable.

Using two coordinate pairs, (3, 6,000) and (4, 3,000), find the slope (m):

Slope (m) = -3,000

Substitute x = 5, y = 0, and m = -3,000 into , to find the value of b. (Note that you can the value of any coordinate pair as x and y. You'd get the same value of b)

Add 15,000 to both sides

Substitute b = 15,000 and m = -3,000 into , to get the equation that describes the relationship between x and y.