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To find the inverse, interchange the variables and solve for y.
Answer: f(x) = 1.2(x/2) if 120 ≤ x ≤ 240
Step-by-step explanation:
Let, she made f(x) sundaes in x minutes.
Then according to the question,
She just makes sundaes for a single shift of at most 4 hours and at least 2 hours,
⇒ She can make sundaes for a single shift of at most 240 minutes and at least 120 minutes,
That is, 120 ≤ x ≤ 240
Now, She can prepare 1 sundae every 2 minutes,
⇒ She can prepare 1/2 sundae every 1 minutes,
⇒ She can prepare x/2 sundae every x minutes,
Also, she earns $1.20 for each sundae she makes.
Thus, her total earning in x minutes,
⇒
Where, 120 ≤ x ≤ 240
Which is the required function related her earnings to the number of minutes she works.