Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.
Batch 111 Batch 222 Batch 333
Cups of sugar 222 333 444
Cups of flour 4\dfrac{1}{2}4
2
1

4, start fraction, 1, divided by, 2, end fraction 6\dfrac{3}{4}6
4
3

6, start fraction, 3, divided by, 4, end fraction 999
What is the unit rate of change of flour (y)(y)left parenthesis, y, right parenthesis with respect to sugar (x)(x)left parenthesis, x, right parenthesis? That is, how much flour corresponds to one cup of sugar?
The unit rate of change is
.
Graph the proportional relationship described above, with the xxx-coordinate representing cups of sugar, and the yyy-coordinate representing cups of flour.

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.

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.