Question

between 1960 and 2010, the size and shape of automobiles in a certain country has changed almost annually. the amount of fuel consumed by these vehicles has also changed. the following table describes the average fuel consumed per year per passenger car in gallons of gasoline. answer parts a through e.
year, t 1960 1970 1980 1990 1995 2000 2005 2010
gallons consumed per passenger car (average), g 657 766 574 513 540 560 572 444
a. determine the average rate of change, in gallons of gas per year, from 1960 to 1970.
the average rate of change from 1960 to 1970 is gallons of gas per year.
(type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Identify the formula

The formula for average rate of change is $\frac{g_2 - g_1}{t_2 - t_1}$, where $g$ is the gallons consumed and $t$ is the year.

Step2: Identify the values

For 1960, $t_1 = 1960$ and $g_1=657$. For 1970, $t_2 = 1970$ and $g_2 = 766$.

Step3: Calculate the average rate of change

$\frac{g_2 - g_1}{t_2 - t_1}=\frac{766 - 657}{1970 - 1960}=\frac{109}{10}=10.9$

Answer:

$10.9$