Question

A teacher earns $\$90$ weekly and get as $\$4.5$ extra for every extra hour (x) of teaching. The correct equation representing the total income (y) of the teacher is _____.

• A. $y=90x+4.5$
• B. $y=94.5+4.5x$
  
• C. $y=4.5x+94.5$
• D. $y=4.5x+90$

Answer 1

The correct option is D $y=4.5x+90$

Given:
Weekly income of the teacher = $\$90$
Extra income for every extra hour of teaching = $\$4.5$
Income for x extra hours = $\$4.5x$

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

Extra hours spent (in Hours)	Total income (in $)
1	$90+4.5\times 1=94.5$
2	$90+4.5\times 2=99$
x	$90+4.5\times x=90+4.5x=y$

∴The correct statement representing the total income of the teacher is $y=4.5x+90$