Maple grove wants to include two types of maple trees, the namesake of the city, for their parks. Two varieties of maple trees have been selected. One variety costs $85 per tree; the other, more colorful variety, costs $95 per tree. The tree budget must not exceed $95,000. Citizens want more of the colorful variety $95 trees than the others if possible. Which system of inequalities represents this situation? 85x+95y≥ 95,000 x≥y
85x+95y≤ 95,000 x≤y
85x+95y≥ 95,000 x≤y
85x+95y≤ 95,000 x≥y

the answer is a) y= 2 csc [0.5 (x+pi/2)]-1

step-by-step explanation:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.