Question

Problem Set

1. The producer of the news station posted an article about the high school's football championship ceremony on a
new website. The website had 500 views after four hours. Create a table to show how many views the website
would have had after the first, second, and third hours after posting, if the website receives views at the same rate.
How many views would the website receive after 5 hours?
2. Write an equation that represents the relationship from Problem 1. Do you see any connections between the
equations you wrote and the ratio of the number of views to the number of hours?
3. Use the table in Problem 1 to make a list of ordered pairs that you could plot on a coordinate plane.
4. Graph the ordered pairs on a coordinate plane. Label your axes and create a title for the graph.
5. Use multiple tools to predict how many views the website would have after 12 hours.

Answer 1

Explanation:

Table showing the number of views after the first, second, and third hours, as well as after 5 hours:

Hours After Posting Number of Views

1st Hour 500 + 500 = 1,000

2nd Hour 1,000 + 500 = 1,500

3rd Hour 1,500 + 500 = 2,000

5th Hour 2,000 + 500 = 2,500

The relationship can be represented by a linear equation where the number of views (V) is a function of time (t):

V(t) = 500t

This equation shows that for each hour (t), the website gains 500 views. There is a direct proportionality between the number of views and the number of hours.

Ordered pairs for the table in Problem 1 that you could plot on a coordinate plane:

(1, 1,000), (2, 1,500), (3, 2,000), (5, 2,500)

Graph of the ordered pairs on a coordinate plane:

Horizontal Axis (X-axis) represents time in hours (t).

Vertical Axis (Y-axis) represents the number of views (V).

Title: "Number of Views Over Time"

To predict the number of views after 12 hours using the equation V(t) = 500t:

V(12) = 500 * 12 = 6,000

The website would have approximately 6,000 views after 12 hours.