Question

Allison is making bracelets to sell in a school craft show. Each bracelet takes her 12 minutes to make, and she's been making bracelets for 120 minutes. She can spend no more than 300 minutes making bracelets. If x represents the remaining number of bracelets that Allison can make, which inequality represents the situation?

Answer 1

The answer is, 12x + 120 -< 300

Explanation:

For the Plato users: This situation can be represented by a linear inequality. The time it takes to make one bracelet, 12 minutes, is the rate of change, which is multiplied by the remaining number of bracelets that Allison can make, x. The time she has already spent making bracelets, 120 minutes, is constant.

Allison cannot spend more than 300 minutes making bracelets, so the less than or equal to sign is used in the inequality. The correct inequality is shown below.

Answer 2

Let
x-------------> represents the remaining number of bracelets that Allison can make

we know that
1) for the first 120 minutes Allison can make
120/12=10 bracelets

2) for the next 180 minutes Allison can make
180/12=15 bracelets

therefore
remaining minutes=300-120-------> 180 minutes
so

`12x \leq 180` -----------> this inequality represents the situation