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7.9 Direct Variation or Direct Proportion
Answer the following questions. Also write at least ten examples of your own.
: The numbers x and y are directly proportional and x=9 when y=3. Find x when y=8; and find y when x=42.
14 and 24 respectively
24 and 14 respectively
25 and 15 respectively
: The amount of heat (H) produced in human body by burning of proteins is directly proportional to the amount of proteins (A) burnt. If burning of 1 gram of proteins produces 32 calories of heat, how much proteins should be burnt to produce 52 calories?
: One evening the length of the shadow of a building's pillar of height 28 m is 42 m. What will be the length of the shadow of the building's tower of height 36 m at that time?
: The pressure P exerted at any point on the base of a tank filled with liquid varies directly as the depth D of the liquid. The pressure exerted by the liquid 25 cms deep on the base of the tank is 10 g/sq. cm. What will be the pressure when the depth is
20 g/sq. cm
16 g/sq. cm
18 g/sq. cm
: The numbers r and s vary directly and the constant of variation is 3/5. Find r if s=45; and find s if r =33.
55 and 27 respectively
50 and 25 respectively
27 and 55 respectively
: A motor bike travels 225 km with 5 liters of gas. How many liters of gas are needed to travel 135 km?
: A family spends 120 dollars per month for vegetables when the cost of vegetables is 5 dollars per kg. How much amount must the family spend per month, if the cost of vegetables goes up to 5.75 dollars per kg?
: The numbers p and q are directly proportional and p=7.5 when q=15. Find p when q=38; and find q when p=13.
19 and 26 respectively
15 and 29 respectively
26 and 19 respectively
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