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Fantom [35]
3 years ago
6

Mitchell currently sells stoves for company a at a salary of $12,000 plus $150 commission for each stove he sells Company B offe

rs him a position with a salary of $24,000 plus a $50 commission for each stove he sells how many stoves would Mitchell need to sell for the options to be equal​
Mathematics
1 answer:
ipn [44]3 years ago
5 0

Answer:

Mitchell needs to sell 120 stoves for the options to be equal.

Step-by-step explanation:

Company A gives Mitchell $12000 salary plus $150 commission per stove selling and Company B is offering Mitchell $24000 salary plus $50 commission per stove selling.

So, if Mitchell sells x number of stoves such that both the plans become equal, then we can write  

12000 + 150x = 24000 + 50x

⇒ 100x = 12000

⇒ x = 120

Therefore, Mitchell needs to sell 120 stoves for the options to be equal. (Answer)

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Step-by-step explanation:

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A sneaker company can make 50 pairs of sneakers for every 6 yards of material. Make a table to show the relation between materia
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A sneaker company can make 50 pairs of sneakers for every 6 yards of material.

Then in each case you can consider proportion.

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2. 50 pairs -- 6 yards,

100 pairs -- x yards.

Mathematically,

\dfrac{50}{100}=\dfrac{6}{x},\\ \\x=\dfrac{100\cdot 6}{50}=12\ yards.

3. 50 pairs -- 6 yards,

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\dfrac{50}{120}=\dfrac{6}{x},\\ \\x=\dfrac{120\cdot 6}{50}=14.4\ yards.

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Thus, the table is

\begin{array}{cc}\text{Pairs}&\text{Yards}\\50&6\\80&9.6\\100&12\\120&14.4\\140&16.8\end{array}

The domain of the relation is the set \{50,80,100,120,140\} and the range of the relation is \{6,9.6,12,14.4,16.8\}.See attached diagram for the graph of the relation.

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