Ask Question
16 October, 04:04

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?

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.

Part C: What would be the domain of the function if the truck continued to travel at this rate until it reached its destination?

+1
Answers (1)
  1. 16 October, 04:26
    0
    Part A: What is the y-intercept of the function, and what does this tell you about the truck?

    The intersection of a function with the y-axis occurs when we evaluate the function for x = 0.

    For this case we have:

    f (0) = 330 miles

    Therefore, the intersection with the y-axis is 330 miles.

    It means that the truck is 330 miles from its destination.

    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.

    Since the function is linear, the average exchange rate is:

    m = (y2-y1) / (x2-x1)

    Substituting values:

    m = (275-330) / (1-0)

    m = - 55

    It represents that the truck approaches 55 miles every hour to its destination.

    Part C: What would be the domain of the function if the truck continued to travel at this rate until it reached its destination?

    The linear equation that represents the problem is:

    y = - 55x + 330

    For y = 0 we have:

    0 = - 55x + 330

    Clearing x:

    x = 330/55

    x = 6

    The domain of the function will be:

    [0, 6]
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers