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The teacher's income after 40 years would be $97,000.
The teacher would earn her dream income in the 12th year.
The function that represents this question is the sum of the starting salary and the increase in income per month.
Total income = starting income + (increase in income x number of years)
$37,000 + ($1500 x 40)
= $37,000 + $60,000
= $97,000
$55,000 = $37000 + ($1,500x y)
$55,000 - $37000 = ($1,500x y)
$18,000 = $1,500y
y = $18,000 / $1500
y = 12 years
To learn more about how to determine total income, please check: https://brainly.com/question/25879561