Question

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 .

Answer 1

424/8 =53

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

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

Answer 2

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

Explanation:

Miguel drove for 8 hours at a constant rate.

Total distance covered by him=424 miles.

Rate at which Miguel drove=
`(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 =
`(288-144)/(6-3)`

=
`(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.