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Emanuel surveyed a random sample of 50 subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, 15 own fewer than 2 vehicles. There are 340 subscribers to Auto Wheel magazine.
Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles?
Choose 1 answer:
(A) 15
(B) 84
(C) 93
(D) 102

Emanuel surveyed a random sample of $50$ subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, $15$ own fewer than $2$ vehicles. There are $340$ subscribers to Auto Wheel magazine. $\newline$ Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than $2$ vehicles? $\newline$ Choose $1$ answer: $\newline$ (A) $15$ $\newline$ (B) $84$ $\newline$ (C) $93$ $\newline$ (D) $102$

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Interpret parts of quadratic expressions: word problems

Full solution

Q. Emanuel surveyed a random sample of

50

subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed,

15

own fewer than

2

vehicles. There are

340

subscribers to Auto Wheel magazine.

\newline

Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than

2

vehicles?

\newline

Choose

1

answer:

\newline

(A)

15

\newline

(B)

84

\newline

(C)

93

\newline

(D)

102

Calculate Proportion: Calculate the proportion of subscribers surveyed who own fewer than $2$ vehicles: $15$ out of $50$ . $Proportion = \frac{15}{50} = 0.3$
Estimate Total Number: Use the proportion to estimate the total number of subscribers who own fewer than $2$ vehicles: $0.3$ times the total number of subscribers ( $340$ ). $\newline$ Estimated number = $0.3 \times 340 = 102$

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