MEAP Preparation - Grade 7 Mathematics 2.16 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? 20 grams 15 grams 13 grams

Q 2: 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. 26 and 19 respectively 15 and 29 respectively 19 and 26 respectively

Q 3: 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. 25 and 15 respectively 24 and 14 respectively 14 and 24 respectively

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 respectively 55 and 27 respectively 27 and 55 respectively

Q 5: 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 6: 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 kgs 45 kgs 40 kgs

Q 7: A motor bike travels 225 km with 5 liters of gas. How many liters of gas are needed to travel 135 km? 3 liters 4 liters 3.5 liters

Q 8: 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 dollars 130 dollars 140 dollars

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