Question

The table below shows the number of people, y, who ride a roller coaster at a theme park over a certain number of hours, x, during a day. Write an equation that represents the relationship between the number of people that ride a roller coaster in terms of the time, in hours, as shown in the table. Use the on-screen keyboard to type the correct equation in the box.

Answer 1

y = 350x

Explanation:

To find the equation of the chart, we simply find the slope and then follow the slope-intercept equation.

Points on the chart: (0, 0) and (1.5, 525)

Slope:

m=(y2-y1)/(x2-x1)

m=(525-0)/(1.5-0)

m=525/1.5

m = 350

Slope-intercept:

y - y1 = m(x - x1)

y - 0 = 350(x - 0)

y - 0 = 350x

y = 350x