The table below represents the distance of a truck from its destination as a function of time: Time (hours) x Distance (miles) y 0 330 1 275 2 220 3 165 4 110 Part A: What is the y-intercept of the function, and what does this tell you about the truck? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the truck continued to travel at this rate until it reached its destination? (2 points)
Part A: The y-intercept of the linear graph is when [tex]x=0[/tex]. So, from our date, the y-intercept is at y=330
Part B: The rate of change is 55 and it represents the decrease of 55 miles for every hour travelled
Part C: The domain of the function will be [tex]x \geq 0[/tex] meaning the traveller will reach its destination after travelling [tex]x[/tex] hours (assuming the traveller doesn't stop for break)
