SOLUTION: The cost of running a ship at a constant speed of v km/h is 160 + 1/100* v^3 dollars per hour. a) find the cost of a journey of 1000 km at a speed of 10km/h. b) find the cost,

Algebra ->  Equations -> SOLUTION: The cost of running a ship at a constant speed of v km/h is 160 + 1/100* v^3 dollars per hour. a) find the cost of a journey of 1000 km at a speed of 10km/h. b) find the cost,       Log On


   



Question 1123206: The cost of running a ship at a constant speed of v km/h is 160 + 1/100* v^3 dollars per hour.
a) find the cost of a journey of 1000 km at a speed of 10km/h.
b) find the cost, C dollars, of a journey of 1000km at a speed of v km/h.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I will say +c+ = rate of spending in dollars/hr
Also +C+ = spending in dollars
Also,
+c+=+160+%2B+%281%2F100%29%2A1000+
+c+=+170+
———————-
[ time in hrs ] = [ km ] / [ km/hr ]
[ cost in dollars ] = [ dollars/hr ]x[ hrs ]
———————-
a)
+C+=+c%2At+
+t+=+1000%2F10+
+t+=+100+ hrs
+C+=+170%2A100+
+C+=+17000+
$17,000
————————-
b)
+t+=+1000%2Fv+
+c+=+160+%2B+%281%2F100%29%2Av%5E3+
+C+=+%28+160+%2B+%281%2F1000%29%2Av%5E3+%29%2A%28+1000+%2Fv+%29+
+C+=+160000+%2Fv+%2B+v%5E2+