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Jordandenzel
30.10.2020 •
Mathematics
Kelsey has to pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants.
Part C
It takes Kelsey 5 hours to make 12 pendants. If she works 8 hours per day for 3 days before the craft fair, can she make enough additional pendants to sell so that she can make a profit of at least $50? Explain.
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Ответ:
Step-by-step explanation:
Let's calculate how much she will spend:
She has to pay $200 for the rent.
She made 10 pendants that costed $7.80 each, that's a total of 10*$7.80 = $78.
Therefore, she will spend $200 + $78 = $278.
Let's define x as the amount of pendants she makes.
To make a profit, the amount of pendants she makes, multiplied by $13.50 that is the price, has to be greater than $280 added to the amount of pendants she makes, multiplied by $7.80 that is the cost.
We write that as
13.50x > 280 + 7.80x
Let's subtract 7.80x on both sides:
13.50x -7.80x > 280 + 7.80x - 7.80x
5.70x > 280
Now we divide by 5.70 on both sides:
5.70x/5.70 > 280/5.70
x > 49.1
To make profit, she needs to make and sell more than 49 pendants.
Ответ:
24x² - 18 - 6x im pretty sure