Question

What is the rate of change of the graph?a.1/32 gallons/mileb.1/64 gallons/milec.64 miles/gallond.32 miles/gallon

Answer 1

`\begin{gathered} \text{rate of change = }\frac{\Delta\text{miles}}{\Delta gallons}\text{ = }(160-64)/(5-2) \\ =(96)/(3)\text{ = 32miles/gallon} \end{gathered}`

Taking two points on the graph

when miles = 160 , gallon = 5

when miles = 64 , gallon = 2