When planning his crops, Farmer Tim knows that his 7 acres can support peas and carrots. He wants to make $7,000 from his crops. He can make $2,000 per acre of peas (the variable p) and $1,000 per acre of carrots (the variable c). Which equation below would be a constraint in his system of equations?

2,000p + 1,000c = 7,000
2,000p − 1,000c = 7,000
p + c = 7
c − p = 7

Question

When planning his crops, Farmer Tim knows that his 7 acres can support peas and carrots. He wants to make $7,000 from his crops. He can make $2,000 per acre of peas (the variable p) and $1,000 per acre of carrots (the variable c). Which equation below would be a constraint in his system of equations? 
  
  
 2,000p + 1,000c = 7,000 
 2,000p − 1,000c = 7,000 
 p + c = 7 
 c − p = 7

sleepyhead314 · Answer

Hello @lvndxn and Welcome to OpenStudy! :)

Sorry for the late reply, but I can try to help you with your question ^_^

For these sort of word questions,  "per"  means to multiply the number with the letter that they gave... so in the case of     $2,000 per acre of peas (the variable p)    this would get represented as     2000p

it would be the same idea as the   $1,000 per acre of carrots (the variable c)    would be     1000c

then he wants to know how to get (equal) 7000  if he *adds* the money he gets from from the two things we just defined ^

This should help you to get to your answer :)
If you come back and still don't get it, you can tag me with  @sleepyhead314   and I'll come back to explain more ^_^