Question

A teacher earns $₹900$ weekly and get as $₹45$ extra for every extra hour (x) of teaching. The correct equation representing the total income (y) of the teacher is _____.

• A. $y=900x+45$
• B. $y=945x+45$
• C. $y=45x+945$
• D. $y=900+45x$

Answer 1

The correct option is D $y=900+45x$

Given:
Weekly income of the teacher = $₹900$
Extra income for every extra hour of teaching = $₹45$
Income for x extra hours = $₹45x$

Representing the data in form of a table, you get:

Extra hours spent (in Hours)	Total income (in ₹)
1	$900+45\times 1=945$
2	$900+45\times 2=990$
x	$900+45\times x=900+45x=y$

∴ The correct statement representing the total income of the teacher is $y=45x+900$