a)
i. y varies inversely as x, and y = -6 when x = 4/3. Find the value for the constant of variation.
ii. C varies directly as g and inversely as cube of t. Write the equation of variation using k as the constant of variation.
iii. The volume (V) of a cone varies jointly as its height and the square of its radius. Write the equation of variation using k as the constant of variation.
b)
i. The Volume (V) of a gas varies directly as the temperature (T) and inversely as the pressure (P). If V = 48 when T = 320 and P = 20, find V when T = 280 and P = 30.
ii. The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) the money is invested. If some money invested at 12% for 2 years earns RM 120, how much would the same amount earn at 14% for 3 years?
Answers
Answer:
long question less points
Step-by-step explanation:
a)
i. y varies inversely as x, and y = -6 when x = 4/3. Find the value for the constant of variation.
ii. C varies directly as g and inversely as cube of t. Write the equation of variation using k as the constant of variation.
iii. The volume (V) of a cone varies jointly as its height and the square of its radius. Write the equation of variation using k as the constant of variation.
b)
i. The Volume (V) of a gas varies directly as the temperature (T) and inversely as the pressure (P). If V = 48 when T = 320 and P = 20, find V when T = 280 and P = 30.
ii. The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) the money is invested. If some money invested at 12% for 2 years earns RM 120, how much would the same amount earn at 14% for 3 years?