Question

The following table shows how far a runner has gone in t minutes. Which of the following equations represents this information?

A. t = 350d

B. t = 300d + 100

C. d = 350t

D. d = 300t + 100 Minutes (t) Meters (d)
2 700
3 1,050
5 1,750
10 3,500

Answer 1

D

Explanation:

Answer 2

d = 350t

Explanation:

From the information given, we need to get the rate of change of distance which is the velocity (slope.)

velocity = Δd/Δt

v = d2-d1/t2-t1

from the table;

when t = 2, d = 700

when t = 3, d = 1050

v = 1050/750/3-2

v = 350/1

v = 350

Since v = d/t

350 = d/t

cross multiply

350t = d

Rearrange:

d = 350t

Hence the equation that represents the information is d = 350t