###### Question:

The equation C(T) = LaTeX: 30000\cdot1.04^T

30000

⋅

1.04

T

represents the cost of tuition, in dollars, as a function of T, the number of years since 2012. Explain what the 30,000 and 1.04 tell us about this situation.

What is the percent increase in tuition from year to year?

What does C(3) mean in this situation? Find its value and show your reasoning.

a. Write an expression to represent the cost of tuition in 2007.

b. How much did tuition cost that year?

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## Answers

B I will probably be b

D) exponential growth function

Step-by-step explanation:

D) Exponential Growth Function

Step-by-step explanation:

This is because in a linear equation, there is a constant 'slope' of how something increases like a specific amount but in this equation, the growth is by a specific percentage which allows for a difference in the amount each year. For example, a linear function would be if it increased by four dollars every year, so 2, 4, 6, 8,etc. But a exponential function would be like if it increased by for percent each year, so 2, 2.16, 2.25, 2.34, etc.

Step-by-step explanation:

Percentage increase = increase/original price × 100/1

Increase = final price - initial price

In this case of 2012 - 2013

Initial price = $30, 000

Final price = $31, 200

Increase = $31, 200 - $30, 000

= $1200

% increase = $1200/$30000 × 100/1

= 0.04×100

= 4%

For the year 2013-2014

Initial price = $31, 200

Final price = $32,448

Increase = $32,448-$31, 200

= $1248

% increase = $1248/$31,200 ×100/1

= 0.04×100/1

= 4%

Hence,the percentage increase in tuition year will be at the rate of 4%