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Mathematics 16 Online
OpenStudy (anonymous):

Is my answer correct?

OpenStudy (anonymous):

The table shows the cost of an adult movie ticket, for an evening show, at a theater for different years. http://static.k12.com/eli/ecollege/1546/7_80381/2_62109_4_80538/4cb4ef60196e403558e87782da3fb0bb9e64c896/media/4e433fabc7f162e375fd11ceeae75cb576a26a86/mediaasset_1488156_1.jpg What was the average rate of change in the ticket cost between 1993 and 2013?

OpenStudy (anonymous):

would it be 18.91

OpenStudy (anonymous):

@Jhannybean Do you know?

OpenStudy (jhannybean):

sorry :\

OpenStudy (anonymous):

it's fine

OpenStudy (anonymous):

@jim_thompson5910 do you know how to do it?

jimthompson5910 (jim_thompson5910):

Use the formula \[\Large m = \frac{f(b)-f(a)}{b-a}\]

OpenStudy (anonymous):

im so lost

jimthompson5910 (jim_thompson5910):

or you can just look at it as \[\Large \text{AROC} = \frac{\text{change in cost}}{\text{change in year}}\] AROC is shorthand for "average rate of change"

jimthompson5910 (jim_thompson5910):

basically you subtract the costs, then subtract the years, then divide you subtract in the same order

OpenStudy (anonymous):

is it 0.15 or 6.66

jimthompson5910 (jim_thompson5910):

what's the change in cost?

OpenStudy (anonymous):

$3

jimthompson5910 (jim_thompson5910):

and the change in year?

OpenStudy (anonymous):

20

jimthompson5910 (jim_thompson5910):

so, \[\Large \frac{\text{change in cost}}{\text{change in year}} = \frac{3}{20} = 0.15\]

jimthompson5910 (jim_thompson5910):

this means the price of the ticket is increasing by $0.15 each year

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