Question

There is proportional relationship between your distance from a thunderstorm and the time from when you see lightning and hear thunder. If there are 9 seconds between lightning and thunder, the storm is about 3 kilometers away. If you double the amount of time between lightning and thunder, do you think the distance in kilometers also doubles? Justify your reasoning.
THANK YOU!

Answer 1

since the relationship is proportional, the distance d and the time t are related by

d = kt

where k is a constant.

So, if you double the time, you have

k(2t) = 2(kt) = 2d

so, the distance also doubles.

Or, you can think of it like this.

d/t = k, a constant

If you now have 2t, you need 2d so that

2d/2t = (2/2)(d/t) is still k.

Answer 2

d=kt
k(2*t)=2(k*t)=2*d
3(2*9)=2(3*9)=2*d
54=54=2*d

d/t=k
2*d/2*t=(2/2)(d/t)
2*d/2(9)
54/18
=3 kilometers or k