Answer:
x = 4
Step-by-step explanation:
y = kx²
NOTE: k is constant for proportionality
putting values for x and y
if x is 2
and y is 12
12 = k(2)²
12 = k4
12 = 4k
divide both sides by coefficient of k
12÷4 = 4k ÷ 4
k=3
substitute 3 for k
therefore when
y is 48
and k is constant 3
then x will be:
48=3x²
divide both sides by coefficient of x²
48 divide by 3 = 3x² divide by 3
16=x²
take the square root of both sides
√16 = √x²
x = 4
The number of cookies and trays are illustrations of greatest common factors.
- The number of trays is 8
- 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
The given parameters are:



<u>(a) The number of trays</u>
To do this, we simply calculate the greatest common factor of 48, 64 and 120
Factorize the numbers, as follows:



So, the GCF is:


Hence, the number of tray is 8
<u>(b) The number of each type of cookie</u>
We have



Divide each cookie by the number of trays
So, we have:



Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
Read more about greatest common factors at:
brainly.com/question/11221202