Question

the average cost of a movie ticket in the past is shown in the table. what is the average rate of change in the cost of a movie ticket from 1995 to 2003? type your answer as a decimal. year 1987 1991 1995 1999 2003 2007 2009 price ($) 3.91 4.21 4.35 5.06 6.03 6.88 7.50 your answer this is a required question

Explanation:

Step1: Identify the formula for average rate of change

The formula for the average rate of change of a function $y = f(x)$ from $x_1$ to $x_2$ is $\frac{f(x_2)-f(x_1)}{x_2 - x_1}$. Here, $x$ represents the year and $y$ represents the price of a movie - ticket. $x_1 = 1995$, $y_1=4.35$, $x_2 = 2003$, $y_2 = 6.03$.

Step2: Calculate the average rate of change

Substitute the values into the formula: $\frac{y_2 - y_1}{x_2 - x_1}=\frac{6.03 - 4.35}{2003 - 1995}$. First, calculate the numerator: $6.03−4.35 = 1.68$. Then, calculate the denominator: $2003 - 1995=8$. So, $\frac{1.68}{8}=0.21$.

Answer:

0.21