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sertanlavr [38]
3 years ago
11

A farmer wants to plant peas and carrots on no more than 200 acres of his farm. If x represents the number of acres of peas and

y represents the number of acres of carrots for solution (x, y), then which is a viable solution?
A.(−50, 160)
B.(80, 160)
C.(75, −200)
D.(60, 135)
Mathematics
2 answers:
n200080 [17]3 years ago
8 0

Answer:

it's D

Step-by-step explanation:

AfilCa [17]3 years ago
5 0

Answer:

Option D.(60, 135)

Step-by-step explanation:

Let

x -----> the number of acres of peas

y ----> the number of acres of carrots

we know that

The inequality that represent the problem is equal to

x+y\leq 200

so

<em>Verify each case</em>

case A) (-50,160)

substitute the value of x and the value of y in the inequality and then compare the result

-50+160\leq 200

110\leq 200 ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case B) (80,160)

substitute the value of x and the value of y in the inequality and then compare the result

80+160\leq 200

240\leq 200 ----> is not true

therefore

The point is not a solution

case C) (75,-200)

substitute the value of x and the value of y in the inequality and then compare the result

75-200\leq 200

-125\leq 200 ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case D) (60,135)

substitute the value of x and the value of y in the inequality and then compare the result

60+135\leq 200

195\leq 200 ----> is true

therefore

The point is a viable solution

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