the sales of a certain product after an initial release can be found by the equation s = 12 square root of 4t+10, where s represents the total sales (in thousands) and t repersents the time in weeks after realease. make a tabe of values, graph the function and use the graph to estimate the sales 8 weeks after release
About $415
About $78
About $415000
About $78000
To create a table of values for the equation s = 12√(4t + 10), we can substitute different values of t into the equation and calculate the corresponding values of s:
t = 0: s = 12√(4(0) + 10) = 12√10 ≈ 37.28
t = 1: s = 12√(4(1) + 10) = 12√14 ≈ 47.33
t = 2: s = 12√(4(2) + 10) = 12√18 ≈ 53.64
t = 3: s = 12√(4(3) + 10) = 12√22 ≈ 59.80
t = 4: s = 12√(4(4) + 10) = 12√26 ≈ 65.23
t = 5: s = 12√(4(5) + 10) = 12√30 ≈ 70.16
t = 6: s = 12√(4(6) + 10) = 12√34 ≈ 74.68
t = 7: s = 12√(4(7) + 10) = 12√38 ≈ 78.95
t = 8: s = 12√(4(8) + 10) = 12√42 ≈ 82.99
To graph the function, we plot the values from the table on a graph with the x-axis representing time (t in weeks) and the y-axis representing sales (s in thousands).
From the graph, we can estimate the sales 8 weeks after release to be approximately $83,000. Therefore, the closest option is "About $78000".