By finding the linear equation that relates distance and time, we can see that the complete table is:
time (hours) distance (miles)
2 100
1.5 75
t (50)*t
1 50
6 300
d/(50) d
How to complete the table?
After a small online search, I've found that the table is:
time (hours) distance (miles)
2
1.5
t
50
300
d
Now, remember the relation:
distance = speed*time.
In this case, we know that the speed is 50 mi/h, so if we define d as the distance and t as the time, we can write:
d = (50mi/h)*t
To complete the table, we just replace the value that appears in the table, and then we solve the equation for the other variable.
First we have t = 2 hours:
d = (50 mi/h)*2h = 100 mi
Then we have t = 1.5 hours
d = (50 mi/h)*1.5 h = 75 mi
Then we assume that we evaluate in t, so there we just write the equation:
d = (50 mi/h)*t
Now we go to the other side of the table, now we evaluate d, so we can write:
t = d/(50 mi/h)
(that is what goes in the table when we need to evaluate in d).
Then the fourth place in the table has d = 50 mi, replacing that:
t = (50mi)/(50 mi/h) = 1h
And finally, we evaluate in d = 300mi
t = (300 mi)/(50 mi/h) = 6h
Then the complete table is just:
time (hours) distance (miles)
2 100
1.5 75
t (50)*t
1 50
6 300
d/(50) d
If you want to learn more about speed, you can read:
https://brainly.com/question/4931057
