Math Is Fun Forum

juanpablo

Member

Registered: 2010-04-07

Posts: 3

problem

) Farmers have two options to harvest the corn grown in the field by others. Company A, he charges $ 6 per hectare plus a fixed charge of $ 20. And the company B, charged $ 3 per hectare plus a fixed charge of $ 35.

a) Find the linear function expressing the cost in terms of hectares planted to each of the options.
b) Plot the functions in one system of Cartesian axes.
c) Determine analytically the point of intersection between the two functions.
d) Interpret the meaning of the point of intersection of the graphs, and how would you use this information to select the right choice if your goal was to get the lower cost of harvest?

i hope can find help to me here

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: problem

Hi;

For a)
The linear functions are:

Ac = 6 h + 20
Bc = 3 h + 35

Where Ac, Bc are A's cost and B's cost and h = hectares.

For b)

http://www.mathsisfun.com/graph/functio … 80&ymax=80

For c)

You set the 2 equations equal to each other and solve.

6 h + 20   =  3 h + 35

h = 5 , so Ac = 50 and Bc = 50

d) Try to answer this on your own. Tell me what you get.

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