A tuition scale for a state university shows an increase of $1,300 each year.
Part 1: If the initial cost was $21,000, what will the cost of tuition be in twenty three years? (5 points)
Part 2: In complete sentences, explain how an arithmetic sequence was applied. (4 points)
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If tuition increases at 1,300 dollars per year, multiplying 1,300 x 23 gives a total increase of $29,900 in that time period. Adding that increase to the initial, 29900+21000=$50,900 for tuition.
The sequence we used is Tuition equals Rate of Increase multiplied by time added to the initial tuition or T=R x t + I Because we know that tuition follows a steady sequence of increase, we can move forward or backward in the sequence to know the cost of tuition simply by multiplying the rate of increase by the time and adding it to the starting cost of tuition.