The table shows annual per capita income in a certain state. | Year | Annual Per Capita Income | |---|---| | 1930 | \$656 | | 1940 | \$680 | | 1950 | \$1{,}717 | | 1960 | \$2{,}437 | | 1970 | \$4{,}198 | | 1980 | \$10{,}291 | From 1970 to 1980, the annual per capita income grew by approximately what factor?
AAbout $1.5\times$
BAbout $2.5\times$
CAbout $4\times$
DAbout $10\times$
Answer & Solution
Correct answer: B. About $2.5\times$
Compute the ratio of the 1980 value to the 1970 value:
$\dfrac{10{,}291}{4{,}198} \approx 2.45$.
The closest option is **about $2.5\times$**.
- Trap A ($1.5\times$) understates — would be $4{,}198 \times 1.5 \approx 6{,}297$, not $10{,}291$.
- Trap C ($4\times$) — $4{,}198 \times 4 \approx 16{,}792$, well above $10{,}291$.
- Trap D ($10\times$) — would require the value to climb to $\$41{,}980$.
A fast on-test estimate: $10{,}291 / 4{,}198 \approx 10{,}000/4{,}000 = 2.5$.
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