Find the rate of money collected per sweatshirt sold. (3 )/(60) (5)/(100) (8)/(160) (9)/(180) (12)/(240)

Question

Find the rate of money collected per sweatshirt sold.


`(3 )/(60) (5)/(100) (8)/(160) (9)/(180) (12)/(240)`

Answer 1

so let's pick two points off that shirts/price table, say 5,100 and 9,180

`\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{100})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{180}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{180-100}{9-5}\implies \cfrac{80}{4}\implies \stackrel{\textit{average rate of change}}{\cfrac{20}{1}\implies \stackrel{\downarrow }{20}}`