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Miguel drove for 8 hours at a constant rate. he drove a total of 424 miles. donna also drove at a constant rate. the table shows the number of miles she had driven in different numbers of hours. number of hours total miles driven 3 144 6 288 9 432 how do the unit rates compare? select from the drop-down menus to correctly complete the statement. miguel has a unit rate of change than donna because is greater than .

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FNAFGAMER12

424/8 =53


(288 - 144)/(6 - 3) = 144/3 = 48


Miguel has a greater rate  than Donna by 5 miles per hour.

Answer:

Miguel's rate of change is greater than Donna by 5 mile/hour.

Step-by-step explanation:

Miguel drove for 8 hours at a constant rate.

Total distance covered by him=424 miles.

Rate at which Miguel drove=  \(\dfrac{424}{8}\) miles/hour.

                                            =53 miles/hour.

Now, the table for Donna is given as:

Number of hours:                      3                      6                    9

Total miles:                              144                  288                432  

so, the Rate at which Donna drove =  \(\dfrac{288-144}{6-3}\)

                                                          =\(\dfrac{144}{3}\\ \\=48\) miles/hour

Hence, Miguel has a greater unit rate of change than Donna because the unit rate of change of Miguel is 53 miles/hour while that of Donna is 48 miles/hour.

Hence Miguel's rate is 5 miles/hour more than Donna.

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