Terry pays £520 per month in rent. His landlord decides to increase the rent by 12.5%.
How much rent does he pay now?

£598

Step-by-step explanation:

Find 10% and 5%0f £520=

10%=52

5%=26

520+26+52=598

The new price is 598

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: