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?

Step-by-step explanation:

Suppose she earns f(x) dollar by making sundaes in x minutes.

As per statement,

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,    ( 1 hour = 60 minutes )

That is, 120 ≤ x ≤ 240

Now, She can prepare 1 sundae every 2 minutes,

Thus, for her,

2 minutes = 1 sundae

⇒ 1 minute = 1/2 sundae

⇒ 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,

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

-6 is the correct option from the above given options