Would you please check to see if I did this problem correctly?

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.

a. Write a direct variation equation for the relationship between time and distance.

d = distance from lightning
t = time it takes you to hear the lightning
d = kt

2 = k10
k = 20
So, d = 20t

b. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.

4 = 20t
t = 80 miles

Thank you

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  1. the time should not be in MILES

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  2. right, 80 seconds. Thank you

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  3. d = kt
    3 = 10k
    k = 1/5
    d = t/5
    that is, 1/5 mile for every second of elapsed time

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