Last year Shannon listened to a certain public radio station 10 hours per week and contributed...

Question

Last year Shannon listened to a certain public radio station 10 hours per week and contributed 35USD to the station. Of the following, which is closest to Shannon's contribution per minute of listening time last year?

GMAT Panda · Accepted Answer

A We convert Shannon’s weekly listening time from hours to minutes. 10 60 = 600 minutes per week We calculate Shannon’s total listening time for the year by multiplying the weekly minutes by 52. 600 52 = 600 50 + 600 2 = 30000 + 1200 = 31200 minutes per year We find Shannon’s contribution per minute by dividing her total contribution by her total listening minutes and simplifying. 35/31200 = 31/31200 + 4/31200 0.001 + 0.0001 0.0011 USD per minute We compare this value to the answer choices and select the closest. Answer A

Explanation	Calculations	Help
$We convert Shannon’s weekly listening time from hours to minutes.$	$10 \times 60 = 600 minutes per week$
$We calculate Shannon’s total listening time for the year by multiplying the weekly minutes by 52.$	$600 \times 52 = 600 \times 50 + 600 \times 2 = 30000 + 1200 = 31200 minutes per year$
$We find Shannon’s contribution per minute by dividing her total contribution by her total listening minutes and simplifying.$	$\frac{35}{31200} = \frac{31}{31200} + \frac{4}{31200} \approx 0.001 + 0.0001 \approx 0.0011 USD per minute$
$We compare this value to the answer choices and select the closest.$	$Answer A$

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