Caroline earns more with the Smiths family.
The unitary method is a method for finding the value of one unit and then the value of the requisite number of units.
First, find Caroline's earnings for [tex]6[/tex] hours with Nelsons family.
Given that [tex]A=6.25h[/tex]
where, [tex]A=[/tex]the earned amount
[tex]h=[/tex]the hours she babysat
Then, [tex]A=6.25[/tex]×[tex]6=37.5[/tex]
So, Caroline earns $[tex]37.5[/tex] for [tex]6[/tex] hours with the Nelsons family.
As per the given that she earns $[tex]39[/tex] for [tex]6[/tex] hours with the Smiths family.
Compare both the data
$[tex]39[/tex] is greater than $[tex]37.5[/tex] for the same amount of hours.
Hence, Caroline earns more with the Smiths family.
Learn more about the unitary method here-https://brainly.com/question/23423168
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