Sure! Let's solve this problem step by step.
1. Determine Suzie’s earnings on Friday:
Suzie babysat for [tex]\( 3 \frac{1}{2} \)[/tex] hours (which is the same as 3.5 hours) at a rate of [tex]$8.50 per hour.
To find out the total earnings on Friday, multiply the number of hours by her rate per hour:
\[
3.5 \text{ hours} \times \$[/tex]8.50/\text{hour} = \[tex]$29.75
\]
So, Suzie earned \$[/tex]29.75 on Friday.
2. Calculate Suzie’s earnings on Saturday:
It is given that Suzie made a total of \[tex]$72.50 from both babysitting jobs. We already know she earned \$[/tex]29.75 on Friday. Thus, we need to subtract her Friday earnings from the total to find her Saturday earnings:
[tex]\[
\$72.50 - \$29.75 = \$42.75
\][/tex]
So, Suzie earned \[tex]$42.75 on Saturday.
3. Find the rate Suzie earned per hour on Saturday:
On Saturday, Suzie babysat for \( 4 \frac{1}{2} \) hours (which is the same as 4.5 hours). We already know that her total earnings for Saturday were \$[/tex]42.75.
To find her rate per hour, divide her total earnings by the number of hours she worked:
[tex]\[
\frac{\$42.75}{4.5 \text{ hours}} = \$9.50/\text{hour}
\][/tex]
Therefore, Suzie earned \[tex]$9.50 per hour on Saturday.
So, Suzie earned \(\$[/tex]9.50\) per hour on Saturday.
