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### Question

Learning Task 4

Give what is asked for. Identify the (A) constant of variation, (B) equation of variation. Then (C) solve for theunknown. Show your solution.

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person. Markus who

weighs 15 kg sits 2 feet from the fulcrum. How far from the fulcrum must Ryson sit in order to balance

with Markus if he weighs 10 kg?

2. The number of pages (p) that Naomi reads varies directly as the number of hours (t) she is reading. If she

can read 21 pages in 14 minutes, how may pages can she read in 21 minutes?

3. The volume of a cylinder is given by the formula V – arh. If r is increased by 50% and the height is

reduced by 25%, what will happen to the volume?

4. The pressure of the gas is directly proportional to the temperature and inversely proportional to its

volume. What happened to the pressure if the volume is reduced to half and the temperature is doubled?

### Answer #1 for Questions: Learning Task 4

Give what is asked for. Identify the (A) constant of variation, (B) equation of variation. Then (C) solve for theunknown. Show your solution.

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person. Markus who

weighs 15 kg sits 2 feet from the fulcrum. How far from the fulcrum must Ryson sit in order to balance

with Markus if he weighs 10 kg?

2. The number of pages (p) that Naomi reads varies directly as the number of hours (t) she is reading. If she

can read 21 pages in 14 minutes, how may pages can she read in 21 minutes?

3. The volume of a cylinder is given by the formula V – arh. If r is increased by 50% and the height is

reduced by 25%, what will happen to the volume?

4. The pressure of the gas is directly proportional to the temperature and inversely proportional to its

volume. What happened to the pressure if the volume is reduced to half and the temperature is doubled?

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