The equation -
T = 9x + 40
represents the Jill's income for week.
We have money earned by Jill -
$40 from carpool + $9 from babysitting (per hour)
We have to find out the expressions best represent Jill's income for the week.
The modelling of equation is deriving the mathematical relation among the terms defined in a mathematical statement.
According to the question -
Money earned from carpool = $40 (Fixed)
Money spent from babysitting = $9/hour (variable)
Let's assume that he baby-sited the job for x hours. Then the money earned through babysitting will be = $9x
Total Money earned will be (T) = carpool money + babysit money =
$(40 + 9x)
Hence, the equation -
T = 9x + 40 represents the Jill's income for week.
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