Question

Given the equation (s = 10 √5t + 15) representing total sales (in thousands) as a function of time in weeks after release, create a table of values, graph the function, and use the graph to estimate the sales 8 weeks after release.

Answer 1

To estimate sales 8 weeks after release using the given equation (s = 10 √5t + 15), create a table of values, calculate sales for each week, then graph it to find the estimated sales value at 8 weeks.

Step-by-step explanation:

Given the equation (s = 10 √5t + 15) representing total sales (in thousands) as a function of time in weeks after release, we'll create a table to show how sales increase with time and estimate sales 8 weeks after release.

First, we calculate several values for 't' and then use them to find 's' using the given equation. Here is a sample table of values: ···
Weeks After Release (t)
Total Sales (s)

0
15

2
10 √(5*2) + 15
8
10 √(5*8) + 15
To estimate the sales 8 weeks after release, we plug '8' into the equation and get:

s = 10 √(5*8) + 15

After calculating, we obtain the value for 's'. Then we can graph the function using a graphing tool or software by plotting the calculated points. By examining the curve, we can confirm the value of 's' or make an estimate if the graph is hand-drawn. The graph would show a curve that starts at 15 (thousand) when t=0 and increases as time proceeds.