224 in 8 minutes. Use the unit rate to complete the table of values for the proportional relationship. X. Y
2. ?
4. ?
6. ?

9514 1404 393

  see attached

Step-by-step explanation:

It can be convenient to use mental arithmetic methods* to fill in this table.

Since the relationship is proportional the y-value for x=4 will be half that for x=8, so will be 224/2 = 112. Similarly, the y-value for x=2 will be half that for x=4, so will be 112/2 = 56.

Then the y-value for x=6 will be the sum of the y-values for x=2 and x=4, so will be 112 +56 = 168.

If you actually care to find the "unit rate," you can divide the y-value for x=2 by 2 to get the corresponding y-value for x=1: 56/2 = 28. The unit rate is 28.

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* Multiplication or division by 2 is simply a matter of doubling or halving. In most cases, it is easy to double a number, or to compute half of it. (If it isn't, you need to review your arithmetic facts.)

The height is 3 m.

Step-by-step explanation:

The formula for the volume of a cylinder is V=πr^2h, where V is the volume, r is the radius and h is the height.

We are given r, the radius, and the volume, so all we need to do is plug it into the formula and solve for h, our height.

V=πr^2h

Substitute V for 75π and r for 5

75π=π5^2h

Square 5

75π=25πh

Divide by 25π on both sides

3=h

3 m is the height.