Question 342219
Lauris and Sheri are approaching the same intersection. Laurie is 2 miles north of the intersection traveling at 45 mph. Sheri is 1 mile east of the intersection and traveling at 30 mph. Express distance between them as a function of time traveled.
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L's distance from the intersection is 2 - 45t miles = (t in hours)
S's distance is 1 - 30t miles
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The distance between them is {{{sqrt(L^2 + S^2)}}}
d = {{{sqrt((2-45t)^2 + (1-30)^2)}}}
d = {{{sqrt(2925t^2 - 240t + 5)}}} miles