Question

Lilah runs 105 meters in 35 seconds. She runs at a constant pace. If m=number of meters and s=number of seconds , which equation and table represent Lilah's run? Answer Choices m=3s s m 1 3 5 15 10 30 m=35s s m 1 35 5 175 10 350 s=3m m s 1 3 5 15 10 30 s=35m m s 1 35 5 175 10 350

Answer 1

Because Lilah runs 105 m in 35 s, her average velocity is
(105 m)/(35 s) = 3 m.s

In terms of distance versus time, the equation that models the velocity is
m = 3s
where
m = distance, m
s = time,s


If we create a table of distance versus time, it should look like this:

t (s) s (m)
---- ------
1 3
5 15
10 30

The answer choices given are
a. m = 3s
b. m = 35s
c. s = 3m
d. s = 35m

where m = distance, meters
s = time, s

Answer:
Choice a. agrees with our model, and it is the correct choice.
That is,
s: 1 5 10
m: 3 15 30