Question

Find the constant rate of change for 11.

Answer 1

bearing in mind thatthe slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

we can just pick two points off the table, say (2000, 68) and (1000, 38)

`\bf (\stackrel{x_1}{2000}~,~\stackrel{y_1}{68})\qquad (\stackrel{x_2}{1000}~,~\stackrel{y_2}{38}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{38}-\stackrel{y1}{68}}}{\underset{run} {\underset{x_2}{1000}-\underset{x_1}{2000}}}\implies \cfrac{-30}{-1000}\implies \cfrac{3}{100}`