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11) In 2006 the average yearly tuition of a private college was $30,000, and it is projected to increase,on average, by $1750 per year.a) Write a linear function fthat models the tuition of a private college x years after 2006.b) Use your function to estimate the yearly tuition of a private college in 2012.

Question
11) In 2006 the average yearly tuition of a private college was $30,000, and it is projected to increase,
on average, by $1750 per year.
a) Write a linear function fthat models the tuition of a private college x years after 2006.
b) Use your function to estimate the yearly tuition of a private college in 2012.
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11) In 2006 the average yearly tuition of a private college was $30,000, and it is projected to increase, on average, by $1750 per year. a) Write a linear function fthat models the tuition of a private college x years after 2006. b) Use your function to estimate the yearly tuition of a private college in 2012.

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Step 1

Let x represents the number of years after 2006 and $ y  represents the yearly tuition fees, When x=0 , y=$30000 and when x=1, y=$30000+1750=$31750 , then the linear function passes through (0,30000) and (1, 31750), From this we can slope of line and the equation of line as shown on board.

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Step 2

In 2012, that is when x=6 years, we can find tuitio...

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