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olchik [2.2K]
3 years ago
5

For every $50.00, Michael earns, he saves $5.. for the future. what is the constant of proportionality (k)?

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Constant of proportionality is given by: y=kx oy k=\frac{y}{x}

So lets suppose y = 50 and x = 5 so k will be \frac{50}{5}=10

This 10 will remain constant. For every $50 Michael saves $5, for $100 he will save  $10 , for $150 he will save $15 and so on.

So this 'k' will be same for each value of x and y.

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After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
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Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

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The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


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Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




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