The Rodriguez family has the fastest speed among the families with a speed of 60 mph
The speed of the families are evaluated as follows;
The speed of the families are calculated using the specified recorded data as follows;
Brown family;
The data is recorded using the equation, y = 56·x, which indicates that the speed of the Brown family is 56 miles per hour
Rodriguez family
The rate of change of the data in the table for the Rodriguez family can be found as follows;
Rate of change is; (150 mi - 45 mi)/(2.5 h - 0.75 h) = 60 mph
The rate of change of the distance traveled to the duration which is the speed is 60 mph for the Rodriguez family
Martin Family
The slope of the straight line graph for the Martin family is; (75 mi - 0 mi)/(2 h - 0 h) = 37.5 mph
Therefore, the speed of the Martin family is 37.5 mph
The family that has the fastest speed is the Rodriguez family
The complete question found through search can be presented as follows;
Three families track their distance while travelling to the band competition each family recorded data in different form. Write the appropriate label to order the families by speed from fastest to slowest
Brown Family
y = 56·x, where x is the number of hours and y is the distance in miles
Rodriguez Family
Time (h) Distance (mi)
0.75 45
2.5 150
3 180
Martin Family
A graph with y-axis labelled (Distance (mi)), and x-axis labelled (Time (h)) and ordered pairs, (0, 0), (2, 75), and (4, 150)