Question

For babysitting, one earn ₹82 weekly and get ₹4.5 extra for every extra hour.
The correct linear equation is
where,
Total earnings (₹): w
Time (hour): t

• A. $w=82+4.5t$
• B. $w=4.5+82t$
  
• C. $w=86.5+4.5t$

Answer 1

The correct option is A $w=82+4.5t$

Given:
Weekly fixed earnings = $₹82$
Let the extra hours of babysitting be 't' hours
Variable earnings = $₹4.5\times t$

So, for 1 extra hour of babysit, one will earn:
=$₹82+₹4.5\times 1=₹82+₹4.5=₹86.5$
In this way, the earnings for different hours can be shown as:

Time (hours)	Payment (in ₹)
1	$₹82+₹4.5\times 1=₹86.5$
2	$₹82+₹4.5\times 2=₹91$
$t$	$₹82+₹4.5\times t=w$

So, total earnings will be, $w=₹82+₹4.5t$