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? $\newline$ Choose $1$ answer: $\newline$ (A) $15$ $\newline$ (B) $84$ $\newline$ (C) $102$ $\newline$ (D) $238$

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Grade 8

Find the percent: tax, discount, and more

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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. 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)

102

\newline

(D)

238

Determine Proportion: Determine the proportion of subscribers who own fewer than $2$ vehicles based on the survey. $\newline$ $15$ subscribers out of $50$ surveyed own fewer than $2$ vehicles. $\newline$ Proportion = Number of subscribers owning fewer than $2$ vehicles / Total number of subscribers surveyed $\newline$ Proportion = $\frac{15}{50}$
Calculate Decimal: Calculate the proportion as a decimal. $\newline$ Proportion = $\frac{15}{50} = 0.3$
Estimate Subscribers: Use the proportion to estimate the number of subscribers who own fewer than $2$ vehicles out of the total number of subscribers to the magazine. $\newline$ Estimated number $=$ Proportion $\times$ Total number of subscribers $\newline$ Estimated number $= 0.3 \times 340$
Perform Multiplication: Perform the multiplication to find the estimate. $\newline$ Estimated number = $0.3 \times 340 = 102$