Question

Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. Write the equation for the given situation in its simplest form. a y= 10x+2 b y=1/5x c y=2x+10 d y=5x

Answer 1

y = 1/5x

Explanation:

Here, we have a direct relationship between the distance from lightning and the time it takes to hear thunder

Let the distance from lightning be y and the time it takes to hear thunder be x

If k is the proportionality constant, then;

y = kx

Now, let’s calculate k , given x 10 seconds and y = 2 miles

2 = 10k

k = 2/10 = 1/5

So the equation for the given situation is;

y = 1/5x