If Jenny's car uses less gas per mile driven than Sandra's truck, how does the graph representing the rate of change of Sandra's truck compare to the graph representing the rate of change of Jenny's car?
If you compare two graphs, which we don't see, you will need to describe or define the axes of the graphs.
Does the x-axis represent the amount of gas consumed in gallons, and the y-axis represent the distance travelled?
If that is the case, the rate of change represents the consumption of miles per gallon, which means that Jenny's car has a greater slope (rate of change) than Sandra's.
In order to compare the rate of change of Sandra's truck and Jenny's car using graphs, we need to understand what rate of change means in this context. The rate of change is a measure of how one variable changes in relation to another variable. In this case, the rate of change refers to the amount of gas used per mile driven.
To represent the rate of change on a graph, we typically plot the independent variable (in this case, the distance driven) on the x-axis and the dependent variable (in this case, the amount of gas used) on the y-axis.
Let's assume we have two graphs, one representing the rate of change of Sandra's truck and the other representing the rate of change of Jenny's car.
In general, if Jenny's car uses less gas per mile driven than Sandra's truck, we can conclude that the slope of Jenny's graph will be less steep than Sandra's graph. This means that for every mile driven, Jenny's car will use less gas compared to the truck.
However, without specific values or equations, we cannot provide an exact visual representation of the graphs. Therefore, it would be helpful to have specific data points or equations to accurately compare the graphs and determine the precise differences in their rates of change.