The complete sentence regarding the running rate obtained from the proportional relationship between distance and duration of travel for Sally and Bobby indicates
- Sally has the faster running rate
What is a proportional relationship; A proportional relationship is one in which the output is a direct multiple of the input value.
The equation representing Sally's running rate indicates that Sally runs at a speed of 5 miles per hour
The ordered pair of values in the graph for Bobby's running rate includes; (0, 0), (1, 4), (2, 8), (3, 12)
The above values represent a proportional relationship with a constant of proportionality, k, representing Bobby's speed
4/1 = 8/2
8/2 = 12/4
12/4 = 4/1
The above ratio indicates that k is; y/x = 4/1
k = 4/1
Bobby's running rate is k = 4 miles per hour
Therefore, Sally running rate (5 mph) is faster than Bobby's running rate (4 mph)
The possible graph that represents Bobby's running rate, obtained from a similar question found through search, created is herewith MS Excel is attached. The complete question found through search can be presented as follows;
Sally and Bobby run every Saturday. The equation d = 5·h represents Sally's running rate, where d is her distance run in miles and h is the number of hours spends running. The graph below represents Bobby's running rate. Choose from the drop-down menu to complete the sentence
_____ has faster running rate