Allison is making bracelets to sell in a school craft show. Each bracelet takes her 12 minutes to make, and she's been making br
acelets 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?
2 answers:
Let
x-------------> <span>represents the remaining number of bracelets that Allison can make
</span>
we know that
1) <span>for the first 120 minutes Allison can make
120/12=10 bracelets
</span>2) <span>for the next 180 minutes Allison can make
180/12=15 bracelets</span>
therefore
remaining minutes=300-120-------> 180 minutes
so
-----------> this <span>inequality represents the situation
</span>
x-------------> <span>represents the remaining number of bracelets that Allison can make
</span>
we know that
1) <span>for the first 120 minutes Allison can make
120/12=10 bracelets
</span>2) <span>for the next 180 minutes Allison can make
180/12=15 bracelets</span>
therefore
remaining minutes=300-120-------> 180 minutes
so
</span>
Answer:
The answer is, 12x + 120 -< 300
Step-by-step 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.
You might be interested in
Now the fraction is your slope, it determines where your point goes, in this equation you would move up 6 times and move left once because your slope is -1/6. Now your numerator is the one that moves right if it's positive or left if if's negative. Your denominator is the one that moves up if it's positive and down if it's negative. So you're either going up 6 times and moving left once and if you're plotting two points then you move down 6 times and right once, it's basically the reverse. Now the number on the very right is your y-intercept it's always on the y-axis and that's how you start your line. from there you use the slope and plot the two other points and then you connect the points. That's how you do it, hope this helps.
