NEED HELP ASAP WILL BRAINLIEST!! Activity

Melanie is tiling her shower with blue and white square tiles. She needs enough tiles to cover 72 square feet. Each tile is the same size. To get the look that she wants, Melanie will use x blue tiles and y white tiles per square foot.

Complete the steps below to determine the number of tiles Melanie needs in terms of x and y.

Part A

Write an expression in terms of x and y that represents the total number of tiles needed per square foot. \

Part B

Now write an expression in terms of x and y that represents the total number of tiles needed for 72 square feet.

Part C

Use the Distributive Property to write an expression that is equivalent to the expression you wrote in part B.

Part D

The expressions in parts B and C are equivalent. Explain what this means in terms of Melanie’s situation.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)

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.

tayeserqp p201311