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Seed costs for a farmer are ​$60 per acre for corn and $80 per acre for soybeans. How many acres of each crop should the farmer plant if she wants to spend no more than $4800 on​ seed? Express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph.

Let x be the number of acres planted with corn and let y be the number of acres planted with soybeans. Choose the correct inequality below.

A. 60x+80y>=4800, x>=0, y>=0

B. 60x+80y<=4800, x>=0, y>=0

C. 60x+80y>4800, x>=0, y>=0

D. 60x+80y<4800, x>=0, y>=0

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Answer:

B

Step-by-step explanation:

Let x = acres of corn and

     y = acres of soybean

If the cost of corn is 60 per acre, we represent that as 60x.

If the cost of soybean is 80 per acre, we represent that as 80y.  

The addition of these 2 grains cannot go over 4800; that means that it can be 4800 on the dot, but it cannot be more.  So "less than or equal to" is our sign.  Putting that all together:

60x + 80y ≤ 4800

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