Question 443·Medium·Math

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A company’s quarterly revenue increased from $2.5$ million to $3.1$ million. By what percent did the revenue increase?

An increase from one amount to another calls for percent change: how large the gain is compared with where you started. Subtract the original amount from the new amount to find the gain. Then divide by the original amount and multiply by $100$ ; Desmos can handle that arithmetic. Dividing by the new amount compares the gain with where you ended instead.

Hints

Hint 1
A percent increase measures the part added compared with what you started with. Find the gain by subtracting the first revenue from the second; the second revenue alone is not the gain.
Hint 2
The base is the amount you compare a change against. For a percent increase, the base is the original revenue. Put it below the gain in a fraction, then multiply by $100$ .

Step-by-step

Find the gain, then compare it with the original
Step 1
Find how much revenue was added
Revenue rose from $2.5$ million to $3.1$ million, so subtract the starting amount to find the gain:
$3.1-2.5=0.6\text{ million}.$
That $0.6$ is an amount of money, not yet a percent.
Step 2
Compare the gain with the original revenue
A percent increase compares the gain with the starting revenue, not the new revenue. Divide the gain by the original amount. Both amounts are in millions, so those units cancel:
$\frac{0.6}{2.5}\times100\%.$
Type $\frac{0.6}{2.5}\times100$ in Desmos. It prints $24$ , so the company's quarterly revenue increased by $24\%$ . Choice B.

Question 443·Medium·Math

Strategy

Hints

Step-by-step

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Strategy

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Step-by-step

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