Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6
a newspaper started an online version of its paper 14 years ago. in a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. use the graph below to justify the lead executive’s statement and to determine the approximate year that the two ad revenues were equal.

graph with x axis labeled years. y axis labeled revenue in dollars. the line for printed ad revenue starts at 0, 3 and goes through the10, 2. the line for online ad revenue starts at 0, 0 zero and goes through the 10, 3.

two ocean beaches are being affected by erosion. the table shows the width, in feet, of each beach at high tide measured where 1995 is represented by year 0.

year number western beach width (in feet) dunes beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
between which years will the beaches have approximately the same width?
assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

Atrain traveled for 1.5 hours to the first station, stopped for 30 minutes, then traveled for 4 hours to the final station where it stopped for 1 hour. the total distance traveled is a function of time. which graph most accurately represents this scenario? a graph is shown with the x-axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the origin and moves upward for 1.5 hours. the line then continues upward at a slow rate until 2 hours. from 2 to 6 hours, the line continues quickly upward. from 6 to 7 hours, it moves downward until it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y axis labeled total distance (in miles). a line is shown beginning at the origin. the line moves upward until 1.5 hours, then is a horizontal line until 2 hours. the line moves quickly upward again until 6 hours, and then is horizontal until 7 hours a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the y-axis where y equals 125. it is horizontal until 1.5 hours, then moves downward until 2 hours where it touches the x-axis. the line moves upward until 6 hours and then moves downward until 7 hours where it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at y equals 125 and is horizontal for 1.5 hours. the line moves downward until 2 hours, then back up until 5.5 hours. the line is horizontal from 5.5 to 7 hours