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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation7.9 Direct Variation or Direct Proportion

 Directions: Answer the following questions. Also write at least ten examples of your own.
 Q 1: 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?15 grams20 grams13 grams Q 2: The weight E of a man on earth's surface is directly proportional to his weight M on mars. The constant of proportionality is 3, if a man weights 126 kg on earth, how much will he weigh on mars?42 kgs40 kgs45 kgs Q 3: A motor bike travels 225 km with 5 liters of gas. How many liters of gas are needed to travel 135 km?3 liters4 liters3.5 liters Q 4: 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?50 m54 m45 m Q 5: 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?140 dollars138 dollars130 dollars Q 6: 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 is20 g/sq. cm16 g/sq. cm18 g/sq. cm Q 7: The expenditure per month for 15 students in a dormitory is \$2,250. If 10 more students joined, what will be the monthly expenditure now?\$3,500\$3,750\$2,750 Q 8: 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 respectively15 and 29 respectively26 and 19 respectively Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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