Question

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

2 minutes = 1.20 dollars for price of sundae.in 4 hours how many minutes are there?=> 60 * 4 hours = 240 minutes => 240 / 2minutes per sundae = 120 minutes => 120 * 1.20 = 144 dollars in 4 hoursOr 72 dollars in 2 hours

Answer 2

`f(x) = 1.2((x)/(2))\text{ where, }120 \leq x \leq 240`

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,

`f(x)=1.2((1)/(2))\text{ Where, }120 \leq x \leq 240`

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