Question

James earn $\$82$ weekly and gets $\$4.5$ extra for every extra hour of baby sitting.The correct equation is .
where,
Total earnings : w
Time(hour) : t

• A. $w=\$82+\$4.5t$
• B. $w=\$6.5+\$82t$
• 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, $w=\$82+\$4.5t$