Please solve this problem for me thanks?

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1 Answer
James W.
Dec 14, 2017

a) Inversely Proportional
b) k = 52.5
c) 15 trucks

Explanation:

Firstly, we know that the number of trucks necessary is inversely proportional to the payload that each can carry (i.e. if one truck can carry more, you need fewer trucks).

So the relationship is:

#t = k/p#

with some constant #k#. Subbing in the values in the first bit of information gives:

#21 = k/2.5#

#k=52.5#

Hence the full equation is:

#t=52.5/p#

Finally, if each truck can carry 3.5 tons, #52.5/3.5# trucks will be needed, which equates to 15 trucks.

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