Question

Roblems KEY

7) When a skydiver is balled up when he/she jumps out of a plane, the skydiver falls at about 200 mph. When arms and legs are fully extended, the skydiver will fall at a rate of 125 mph. Complete the table for a skydiver with arms and legs fully extended.
30 62.5
60 125
75 1561 4
What is the unit rate for a time of one minute? Write solution as a mixed number.
Time Distance (Minutes) (Miles)
8) Devika pours 4.2 ounces of water from a full bottle. She estimates that she poured out 35% of the water in the bottle. About how much water was in the full bottle?

Answer 1

The unit rate for a time of one minute is
`\(2 (1)/(2) \text{ mph}\)`. Devika estimates that there were about 12 ounces of water in the full bottle.

7) Unit Rate for a Time of One Minute:

The unit rate is the speed of the skydiver per minute. To find this, we can use the given data points:

- When balled up (30 seconds):
`\(62.5 \text{ mph} * 2 = 125 \text{ mph}\)` (doubling for one minute).

- When fully extended (60 seconds):
`\(125 \text{ mph} * 2 = 250 \text{ mph}\)`.

The unit rate for one minute is
`\(250 \text{ mph}\)`. However, we need to express this as a mixed number. Since 250 is a multiple of 125, we can simplify it:

`\[ 250 \text{ mph} = 125 * 2 \text{ mph} = 2 (1)/(2) \text{ mph} \]`

So, the unit rate for a time of one minute is
`\(2 (1)/(2) \text{ mph}\)`.

8) Amount of Water in the Full Bottle:

Devika poured out 35% of the water, which is equivalent to 0.35 in decimal form. Let x be the amount of water in the full bottle.

`\[ 0.35 * x = 4.2 \text{ ounces} \]`

Solve for x:

`\[ x = (4.2)/(0.35) \]`

`\[ x = 12 \text{ ounces} \]`

Therefore, Devika estimates that there were about 12 ounces of water in the full bottle.