Question

Stella is a stuffed bear maker it takes 2 1/4 hours to make a bear and she works 10 hours a day right and solve inequality to determine the maximum number of beer is Stella makes in a day?

Answer 1

To find the maximum number of bears Stella can make in a day, we solve the inequality <(9/4) * x <= 10>, which yields x <= 4.44. Since Stella can only make whole bears, she can make a maximum of 4 bears per day.

Step-by-step explanation:

The question asks us to solve an inequality to determine the maximum number of bears Stella can make in a day given it takes her 2 1/4 hours to make one bear, and she works 10 hours a day. To answer this, let's denote the number of bears that Stella can make as 'x'. We can write an inequality as follows:

2 1/4 hours/bear * x bears <= 10 hours

Since 2 1/4 hours is equivalent to 9/4 hours, we convert and simplify the inequality:

(9/4) * x <= 10

Multiplying both sides by 4/9 to solve for 'x', we get:

x <= (10 * 4/9)

x <= 40/9

x <= 4.44

Since Stella cannot make a fraction of a bear, the maximum number of whole bears she can make is 4 bears per day.