Question

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)

Answer 1

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

Verify each case

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

Answer 2

Answer:

D

Step-by-step explanation: