helpmepls12
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- May 19, 2017
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A prospective boat owner wants to determine the approximate dollar cost per hour of operating a particular boat. The manufacturer states the speed of a boat, s in kilometers per hour, at time t in hours after the boat is under way, is represented by s(t)=8 + t + 0.2t2. At the current cost of diesel fuel, the dollar cost per kilometre of traveling at speed s kilometres per hour is represented by c(s)=(0.01s-0.7)2+0.5 .
a) Form an algebraic expression for c(s(t)), the cost of operating the boat as a function of time. (expansion is not needed) (2A)
b) What does c(s(t)) mean in context of this problem? (2C)
c) Determine the cost per km, 5 hours into a trip under the above conditions.
for a), I got c(s(t))= (((0.01)(8+t+0.2t^2))-0.7)^2 +0.5
b) I'm guessing that it means that its the cost of operating the boat per hour?
c) Fo i just plug in 5 for the composite function i created?
pls help
a) Form an algebraic expression for c(s(t)), the cost of operating the boat as a function of time. (expansion is not needed) (2A)
b) What does c(s(t)) mean in context of this problem? (2C)
c) Determine the cost per km, 5 hours into a trip under the above conditions.
for a), I got c(s(t))= (((0.01)(8+t+0.2t^2))-0.7)^2 +0.5
b) I'm guessing that it means that its the cost of operating the boat per hour?
c) Fo i just plug in 5 for the composite function i created?
pls help