Question

The value of the shares fell to y dollars a year later and Alex decided to sell. He used a broker who charged 1.25% commission to make the sale. Write an expression to model Alex’s net proceeds algebraically. Explain how you determined this expression.

Answer 1

Using multipliers, the expression is given by:

$y = 0.9875x$

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The decimal multiplier for a decrease of x% is given by:

$M = \frac{100 - b}{100}$

In this problem, decrease of 1.25%, thus:

$M = \frac{100 - 1.25}{100} = \frac{98.75}{100} = 0.9875$

Alex's net proceeds is then of 98.75% = 0.9875 of y, removing the broker proceedings, thus, the expression is:

$y = 0.9875x$

A similar problem is given at brainly.com/question/16411122