Question

Question 9 of 26

Answer 1

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,

$f(x)= 1.2\times \frac{x}{2}$

⇒  $f(x)= 1.2(\frac{x}{2})$

Where, 120 ≤ x ≤ 240

Which is the required function related her earnings to the number of minutes she works.