let

j = 4 m/s the average speed of Jin

d = the distance he travels

t = the time of the travel in seconds

a) Write an equation that relates d and t.

since speed = distance/time => distance = time*speed

d = j*t

d = 4t

b) Create a table of values for this relation.

For t = 0 we have d = 4*0 = 0

For t = 1 we have d = 4*1 = 4

For t = 2 we have d = 4*2 = 8

For t = 3 we have d = 4*3 = 12

c) Graph the data. Should you join the

points? Explain your reasoning.

click here to see the graph of the function d = 4t

Click to see all the steps

d) Is the relation between distance and

time linear?

Yes.

i) How do you know from the table

of values?

there is constant value of change for x and for y

ii) How you know from the graph?

the graph is a straight line

e) How far does Jin travel in 3.5 h?

t = 3.5 h = 3.5*60*60 s

d = 4*3.5*60*60

d = 50,400 m