Correct answer only ! the triangular region shows the number of possible carrots, x, and the number of possible cucumbers, y, a person can use in a salad. which combination of carrots and cucumbers can the person use? a. 30 carrots and 21 cucumbers b. 30 carrots and 25 cucumbers c. 25 carrots and 20 cucumbers d. 25 carrots and 30 cucumbers

A. 30 carrots and 21 cucumbers

Step-by-step explanation:

In the given graph,

The feasible region shows the possible order pairs (x, y) in which x represents the number of carrot and y represents the number of cucumbers,

Since, (30, 21) lies in the feasible region,

⇒ The possible carrots and cucumbers are 30 and 21 respectively,

⇒ OPTION A is correct.

(30, 25), (25, 20) and (25, 20) do not lie in the feasible region,

⇒ Options B, C and D can not be the combination of carrots and cucumbers can the person use.

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200