Y is directly proportional to the square of x. When x = 3, y = 4.5. What is y when x is 8?

y = 32

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition when x = 3, y = 4.5 , then

4.5 = k × 3² = 9k ( divide both sides by 9 )

0.5 = k

y = 0.5x² ← equation of proportion

When x = 8 , then

y = 0.5 × 8² = 0.5 × 64 = 32

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.