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2 answers:
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Answer:
He would gain by choosing air travel if, and only if, he values his time at more than $5 per hour.
Step-by-step explanation:
The problem states that:
A bus ticket from Washington to St. Louis costs $100, while it takes 32 hours to arrive.
A plane ticket from Washington to St. Louis costs $250, while it takes 2 hours to arrive.
Other things constant, Andrew would gain by choosing air travel if, and only if, he values his time at more than
If Andrew choses to go by plane, he saves 32-2 = 30 hours at the expense of $250-$100 = $150.
So, dividing the extra cost by the number of hours saved:
He would gain by choosing air travel if, and only if, he values his time at more than $5 per hour.
Answer:
-0.69 feet per second
Step-by-step explanation:
We have dx/dt = 2 ft/sec, and we want to determine dy/dt.
x and y are related by the Pythagorean Theorem.
x²+y²=16²
Differentiate both sides of this equation with respect to t to get
Divide both sides by 2y
When x = 5 ft, we have
x²+y²=16²
5²+y²=256
y²=256-25=231
therefore
y=
=-0.69
The top of the ladder is sliding down (because of the negative sign in the result) at a rate of -0.69 feet per second.
