Question

The sales of a certain product after an initial release can be found by the equation s=10√(5t)+15 , where s represents the total sales (in thousands) and t represents the time in weeks after release. Make a table of values, graph the function and use the graph to estimate the sales 2. 8 weeks after release.

a) About $415
b) About $415,000
c) About $78
d) About $78,000

Answer 1

To create a table of values, substitute different values of t into the equation and calculate the corresponding values of s. Plotting these points on a graph, we estimate the sales 2.8 weeks after the release to be approximately B) $415,000.

Step-by-step explanation:

To create a table of values, we substitute different values of t into the equation and calculate the corresponding values of s.

1. When t = 0, s = 10√(5(0)) + 15 = 15.
2. When t = 1, s = 10√(5(1)) + 15 = 25.
3. When t = 2, s = 10√(5(2)) + 15 = 35.
4. When t = 3, s = 10√(5(3)) + 15 = 45.
5. When t = 4, s = 10√(5(4)) + 15 = 55.

The table of values is:

ts015125235345455

To graph the function, we plot these points on a coordinate plane. The points (0, 15), (1, 25), (2, 35), (3, 45), and (4, 55) form a curved line. Using the graph, we can estimate the sales 2.8 weeks after the release to be approximately $415,000 (Option B).