Question

Miguel drove for 8 hours at a constant rate. He drove a total of 424 miles.Donna also drove at a constant rate. This table shows the number of miles she had driven in different numbers of hours.How do the unit rates compare?Select from the drop-down menus to correctly complete the statement.Miguel has a Choose... greater or less unit rate of change than Donna because Choose... 48 mph or 53 mph or 424 mph or 432 mph is greater than Choose... 48 mph or 53 mph or 424 mph or 432 mph

Answer 1

As Miguel drove a total of 424 miles in 8 hours, at a constant rate, then the unit rate of change can be calculated as:

$M=\frac{424miles}{8hours}=53\text{ miles/hour}$

Now, Donna also drove at a constant rate, and we have a table of values, by dividing the miles driven in the corresponding time, the unit rate of change is:

$D=\frac{144miles}{3hours}=\frac{288miles}{6hours}=\frac{432miles}{9hours}=48\text{ miles/hour}$

As can be seen, Miguel has a greater unit rate of change than Donna because 53 mph is greater than 48 mph.