Rates and variations questions | form three Basic Mathematics

Express the following equations as two statements each, using the words ‘varies’ and ‘proportional’.

Answer / Solution

UNSOLVED

The variables t and z in the following table are related by the formula z=atⁿ where a is a constant and n is a positive integer.

1. Use the data from the table to determine the values of a and n.
2. Use the values of a and n obtained in part (a) (i) to complete the following table.

Answer / Solution

UNSOLVED

If v varies directly as the square of x and inversely as , given that v=18 when x=3 and y=16, find the values of v when x=5 and y=4.

Answer / Solution

UNSOLVED

Mr. Ogango from Kenya visited Tanzania. He had 5,000 Kenya shillings (Kshs) and wanted to change the money into US dollars. If 1 US dollar was equivalent to 2500 Tanzania shilliings (Tshs) and Ksh 1 was equivalent to Tshs 20, how much US dollars did he get?.

Answer / Solution

UNSOLVED

A gardener has found the time t to cut the grass on a square field varies directly as the square of its length (L) and inversely as a number of men(m) doing that job. If 5 men cut grass on a field of side 50m in 3 hours, how many more men are required to cut grass on a field of side 100m in 5 hours? assume that the men are working on the same pace.

Answer / Solution

UNSOLVED