Self-study (Variation) Home Learning

Given that g is directly proportional to the (h + 1)² and that g = 4 when h = 3, find the value of g when h = -2.

Which of the following shows that A is inversely proportional to B, where k is a constant.

Which of the following shows that y varies directly as the square root of x?

Which of the following shows that y varies inversely as x? 

Which of the following show that y varies directly as the square of x? 

Given that y varies inversely as the square root of x. Which of the following is correct, where k is a constant? 

Given that A varies directly as the cube of x and inversely as y. Which of the following is correct, where k is a constant? 

Given that P varies inversely as the square of (x - 5) and directly as the cube root of y. Which of the following is correct, where k is a constant? 

A source of light is observed from a distance of d metres. The amount of light received, L units varies inversely as the square of d. Given that L = 8 when d = 3. Calculate the value of d when L = 288. 

y is directly proportional to the cube of (x - 2). It is given that y = 9 when x = 5. Find x when y = 72. 

Given that y varies jointly directly as the cube of x and inversely as the square root of (x - 2). If y = 12 when x = 3, find y when x = 6. 

Twelve men can paint the wall in 14 days. How long does it take twenty-one men to paint the same wall?

Fifteen men take 8 hours to finish a piece of work. After the 15 men have worked for 2 hour, the contractor decides to call in 3 more men so that the work can be completed earlier. How many more hours would 18 men take to complete the remaining work?

Given that p is inversely proportional to q² + 2, and that p = 2 when q = 4, find the positive value of q if  p = 12.

A car skids to a halt in an accident. Investigators measure the length, l metres, of the skid to estimate the speed, v metres per second, at which it had been travelling before the accident. The speed is proportional to the square root of the length of the skid. Given that a car travelling at 20 m/s skids 25 m. Find the speed of a car which skids 100m.

If 15 men can paint a house in 8 days, how long would it take 4 men to paint the same house?