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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation7.5 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 numbers x and y are directly proportional and x=9 when y=3. Find x when y=8; and find y when x=42.24 and 14 respectively25 and 15 respectively14 and 24 respectively Q 3: 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 is18 g/sq. cm16 g/sq. cm20 g/sq. cm Q 4: 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 =33.50 and 25 respectively55 and 27 respectively27 and 55 respectively Q 5: 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 Q 6: 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?\$2,750\$3,500\$3,750 Q 7: 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?138 dollars140 dollars130 dollars Q 8: 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 kgs45 kgs40 kgs Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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