Answer:
2.4 hours
Step-by-step explanation:
The graph of the question is attached below.
A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the intercept.
The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (1.5, 300) and (2.5, 500). Hence using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-300=\frac{500-300}{2.5-1.5} (x-1.5)\\\\y-300=200(x-1.5)\\\\y-300=200x-300\\\\y=200x-300+300\\\\y=200x\\\\To\ find\ the\ time\ taken\ to\ travel\ 480 \ miles,we\ substitute\ y=480\ \\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]
