Question

The number of kilometers Tony travels in a canoe, d, varies directly with the amount of time spent in the canoe, t. When Tony canoes for 2.25 h, he travels 9 km. Which equation shows this direct linear variation?
a)d=2t
b)d=2.25t
c)d=4t
D)d=4 + t

Answer 1

do you know about direct and indirect variation?

Answer 2

here the distance d varies directly with the time t so when d increases and t also increases

Answer 3

all you need to do is to find their ratio of increase

Answer 4

\[\frac{d}{t} = \frac{distance}{time}= \frac{9}{2.25}\]

Answer 5

since 2.25 * 4 = 9 you'll get

Answer 6

any doubts?

Answer 7

\[\frac{d}{t} = 4\] which gives us d = 4t

Answer 8

so c is the correct option.