Question

Written Portion

Answer 1

Answer:

2.4 hours

Step-by-step explanation:

The graph is a straight line graph. A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + c, where y is the dependent variable, x is the independent variable, m is the slope (rate of change) and c is the intercept.

A line passing through the point $(x_1,y_1)\ and\ (x_2,y_2)$ can be represented by the equation:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$

Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (0.5, 100) and (3.5, 700). Hence using:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{700-100}{3.5-0.5} (x-0.5)\\\\y-100=200(x-0.5)\\\\y-100=200x-100\\\\y=200x-100+100\\\\y=200x\\\\To\ travel\ 480 \ miles,we\ substitute\ y=480\ and\ find\ x\\\\480=200x\\\\x=480/200\\\\x=2.4\ hours$