Question

Question 9 of 26

Marge runs an ice cream parlor. Her specialty is triple chocolate sundaes. She can prepare 1 sundae every 2 minutes, and she earns $1.20 for each sundae she makes. If she just makes sundaes for a single shift of at most 4 hours and at least 2 hours, which function relates her earnings to the number of minutes she works?

Answer 1

Answer: f(x) = 1.2(x/2) if 120 ≤ x ≤ 240

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* (x)/(2)`

⇒
`f(x)= 1.2((x)/(2))`

Where, 120 ≤ x ≤ 240

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