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10. A washing machine repairer charges a total of £T for a repair which takes H hours. The formula
connecting T and H is
T = 35 + 20H.
Find H when T is 85.



Answer :

The value of H when T is 85 is 2.5 hours which is calculated from the linear equation in two variables.

The linear equation in two variables is defined as an equation which defines the relationship between two unknown variables.

  • The general form of linear equation is of the form ax + by = c where a and b are constant co-efficient and c is a constant. Here y is the dependent variable and x is the independent variable.
  • The graph of a linear equation in two variables is a straight line in the cartesian plane.

Given the linear equation for total amount of money(T) which is the dependent variable using the independent variable H(number of hours worked) .

T=35 + 20 H

At T = 85 , we substitute the value of T in the linear equation to find H .

T=35 + 20 H

or, 85 = 35 + 20H

or, 50=20H

or, H=2.5

Therefore the value of H is 2.5 hours when T is 85.

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