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Dyami earns a
4% commission for the first
$30,000 of sales he makes per month. He earns a
5% commission for the portion of his sales over
$30,000. If Dyami sells
$38,000 worth of merchandise in a month, how much will he earn in commissions, in dollars?

Dyami earns a $4 \%$ commission for the first $\$ 30,000$ of sales he makes per month. He earns a $5 \%$ commission for the portion of his sales over $\$ 30,000$ . If Dyami sells $\$ 38,000$ worth of merchandise in a month, how much will he earn in commissions, in dollars?

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Exponential growth and decay: word problems

Full solution

Q. Dyami earns a

4 \%

commission for the first

\$ 30,000

of sales he makes per month. He earns a

5 \%

commission for the portion of his sales over

\$ 30,000

. If Dyami sells

\$ 38,000

worth of merchandise in a month, how much will he earn in commissions, in dollars?

Calculate first $\$$ $30$ , $000$ commission: Calculate the commission for the first $\$$ $30$ , $000$ of sales. $\newline$ Dyami earns a $4$ \% commission on the first $\$$ $30$ , $000$ . $\newline$ Commission for the first $\$$ $30$ , $000$ = $4$ \% of $\$$ $30$ , $000$ $\newline$ = $0$ . $04$ * $\$$ $30$ , $000$ $\newline$ = $\$$ $1$ , $200$
Calculate sales over $\$$ $30$ , $000$ commission: Calculate the commission for the sales over $\$$ $30$ , $000$ . $\newline$ Dyami earns a $5$ \% commission on the amount over $\$$ $30$ , $000$ . $\newline$ Total sales = $\$38,000$ $\newline$ Amount over $\$$ $30$ , $000$ = $\$38,000 - \$30,000$ $\newline$ = $\$8,000$ $\newline$ Commission for the amount over $\$$ $30$ , $000$ = $5$ \% of $\$8,000$ $\newline$ = $0.05 \times \$8,000$ $\newline$ = $\$$ $0$
Calculate total commission: Calculate the total commission earned by Dyami. $\newline$ Total commission = Commission for the first $\$30,000$ + Commission for the amount over $\$30,000$ $\newline$ = $\$1,200$ + $\$400$ $\newline$ = $\$1,600$

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