117k views
1 vote
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?

a. 2,000p + 1,000c = 7,000
b. 2,000p − 1,000c = 7,000
c. p + c = 7
d. c − p = 7

User Shyam S
by
8.1k points

2 Answers

3 votes

Answer:

The correct option is C). p + c = 7

Explanation:

Let number of acres available for peas = p acre

And number of acres available for carrot = c acre

Now, One acre of peas make $2000

And one acre of carrot makes $1000

So, to make a total amount of $7000, the required equation is :

2000p + 1000c = 7000

and total available acres of land for planning the crops = 7 acres

⇒ p + c = 7

Hence, the equation of the problem is : 2000p + 1000c = 7000 with subject to the constraints : p + c = 7

Therefore, The correct option is C). p + c = 7

User Tyler Hyndman
by
8.8k points
1 vote
This is the concept of algebra, we are required to get the equation that would be a constraint in the system of equation,
The total amount that the farmer want to make is $7000
amount he can make per acre of land is $2000, the amount he can make per acre will $1000. The variable representing peas and carrots are p and c retrospectively;
The total amount made from this can be represented by the equation below;
Total amount made by p acres of peas will be:
2000*p=$ 2000p
Total amount made by c acres of carrots:
1000*c=$1000c
Total amount will be given by:
2000p+1000c=7000

this can be simplified by dividing through by 1000 to get:
p+c=7

The correct answer is C.
User The Vivandiere
by
9.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories