Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between the time, t, in hours he hikes to distance, d, in miles? Will the graph be continuous or discrete?

a) d = 0.4t, discrete
b) d = 0.4t, continuous
c) d = 2.5t, discrete
d) d = 2.5t, continuous

Question

Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between the time, t, in hours he hikes to distance, d, in miles? Will the graph be continuous or discrete?

a) d = 0.4t, discrete
b) d = 0.4t, continuous
c) d = 2.5t, discrete
d) d = 2.5t, continuous

Vocaloid · Answer

to find the equation: distance = rate * time

rate is (distance he travelled) / (time he took to travel that distance) 
plug in the appropriate values from the problem

now, to decide whether it's continuous or discrete, consider whether the values on the graph are limited to distinct values, or if they're continuous across a range of values

(easier to see visually, I'll post some graphs)

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