The average annual cost in dollars of tuition and fees at a

The average annual cost (in dollars) of tuition and fees at a 2- year colleage for selected years is shown in the given table, where year 0 represents 2003. The data can be approximated by the equation y=78.46x+ 3747. Predict the average annual cost in 2014 to the nearest dollar.

Solution

Let\'s write the equation given:

y = 78.46x+ 3747

We have to find average annual cost in year 2014. Let that be Y.

As value of x is increasing by 1 every year starting from year 2003. Therefore, value of x will be 11 for 2014.

Now, put this value in the above equation:

Y = 78.46*11 + 3747

Y = 4610.06

Therefore, average annual cost in year 2014 is 4610.06 dollars or 4610 dollars to the nearest dollar.