Question

PLS HELP!

Rohan is checking in poodles for a dog show. A miniature poodle must be between 10 in. and 15 in. at the shoulder. The body length must be no more than 16 in. In addition, the poodle’s shoulder height must be no more than 1 in. longer than its body length.

The graph shows the feasible region, where x represents the poodle’s body length and y represents the shoulder height.

Which ordered pairs meet all the constraints for a successful poodle measurement and make sense in context of the situation?

Select each correct answer.

(15, 11)

(11, 9)

(11, 14)

(10, 12)

(12, 10.5)

Answer 1

The answers would be
A) (15, 11)
D) (12, 10.5)

Answer 2

(15, 11) and (12, 10.5).

Explanation:

Let x represents the poodle’s body length and y represents the shoulder height.

A miniature poodle must be between 10 in. and 15 in. at the shoulder.

`10\leq y\leq 15`

The body length must be no more than 16 in.

`0\leq x\leq 16`

The poodle’s shoulder height must be no more than 1 in. longer than its body length.

`y\le1+x`

From the below figure it is clear that only two points (15, 11) and (12, 10.5) lie in the feasible region.

Therefore, ordered pairs (15, 11) and (12, 10.5) meet all the constraints for a successful poodle measurement and make sense in context of the situation.