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After a three-month long motorized scooter pilot program, City A randomly surveyed residents on their feelings about the scooters. Of the 276 residents surveyed, 50 have positive feelings toward the scooters. Based on the survey results, approximately how many of the city's 500 thousand residents do not have positive feelings toward the scooters?
Choose 1 answer:
(A) 91 thousand
(B) 224 thousand
(C) 409 thousand
(D) 450 thousand

After a three-month long motorized scooter pilot program, City A randomly surveyed residents on their feelings about the scooters. Of the $276$ residents surveyed, $50$ have positive feelings toward the scooters. Based on the survey results, approximately how many of the city's $500$ thousand residents do not have positive feelings toward the scooters? $\newline$ Choose $1$ answer: $\newline$ (A) $91$ thousand $\newline$ (B) $224$ thousand $\newline$ (C) $409$ thousand $\newline$ (D) $450$ thousand

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Multi-step problems with unit conversions

Full solution

Q. After a three-month long motorized scooter pilot program, City A randomly surveyed residents on their feelings about the scooters. Of the

276

residents surveyed,

50

have positive feelings toward the scooters. Based on the survey results, approximately how many of the city's

500

thousand residents do not have positive feelings toward the scooters?

\newline

Choose

1

answer:

\newline

(A)

91

thousand

\newline

(B)

224

thousand

\newline

(C)

409

thousand

\newline

(D)

450

thousand

Proportion of positive feelings: Determine the proportion of residents surveyed who have positive feelings toward the scooters. $\newline$ To find this proportion, divide the number of residents with positive feelings by the total number of residents surveyed. $\newline$ $\frac{50}{276}$
Proportion of negative feelings: Determine the proportion of residents surveyed who have positive feelings toward the scooters. $\newline$ $=1-\frac{50}{276}$ $\newline$ $=\frac{276-50}{276}$ $\newline$ $=\frac{226}{276}$
Calculate Number of Negatives: Calculate the approximate number of residents who do not have positive feelings. $\newline$ To find this number, multiply the proportion of residents surveyed who have positive feelings by the total population of the city. $\newline$ $\approx \frac{226}{276} \times 500,000$ $\newline$ $\approx 0.819 \times 500,000$ $\newline$ $\approx 409,500$
Round the Result: Round the result to the nearest thousand if necessary. $\newline$ Since the answer choices are in whole thousands, round the result accordingly. $\newline$ The closest answer from the given options is $409$ thousand.

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