The total sales of S (in thousands of DVD's) of a certain movie are given by the following formu

First, we need to find the derivative of S(t), which is S'(t). The derivative of 40t^2 is 80t an

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The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the questions. S(t) = 40t^2 / (t^2 + 150) a) Find S'(t). S'(t) = 12000t / (t^2 + 150)^2 b) Find S(10) and S'(10). The value of S(10) rounded to the nearest hundredth is 16. The value of S'(10) rounded to the nearest hundredth is 19.2. What do the values for S(10) and S'(10) indicate? A. After 10 months, the total sales are 19,200 DVD's and the sales are increasing at the rate of 1600 DVD's per month. B. After 10 months, the total sales are 1920 DVD's and the sales are increasing at the rate of 16 DVD's per month. C. After 10 months, the total sales are 16,000 DVD's and the sales are increasing at the rate of 1920 DVD's per month. D. After 10 months, the total sales are 16,000 DVD's and the sales are increasing at the rate of 1.92 DVD's per month. c) Use the results from part (b) to estimate the total sales after 11 months. After 11 months, the total sales will be approximately how many DVD's? (Round to the nearest whole number.)

          The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the questions.

S(t) = 40t^2 / (t^2 + 150)

a) Find S'(t).
S'(t) = 12000t / (t^2 + 150)^2

b) Find S(10) and S'(10).
The value of S(10) rounded to the nearest hundredth is 16.
The value of S'(10) rounded to the nearest hundredth is 19.2.

What do the values for S(10) and S'(10) indicate?
A. After 10 months, the total sales are 19,200 DVD's and the sales are increasing at the rate of 1600 DVD's per month.
B. After 10 months, the total sales are 1920 DVD's and the sales are increasing at the rate of 16 DVD's per month.
C. After 10 months, the total sales are 16,000 DVD's and the sales are increasing at the rate of 1920 DVD's per month.
D. After 10 months, the total sales are 16,000 DVD's and the sales are increasing at the rate of 1.92 DVD's per month.

c) Use the results from part (b) to estimate the total sales after 11 months.
After 11 months, the total sales will be approximately how many DVD's?
(Round to the nearest whole number.)

The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula where t is the number of months since the release of the DVD. Use the formula to answer the questions.

S(t) = 40t^2 / (t^2 + 150)

a) Find S'(t).
S'(t) = 12000t / (t^2 + 150)^2

b) Find S(10) and S'(10).
The value of S(10) rounded to the nearest hundredth is 16.
The value of S'(10) rounded to the nearest hundredth is 19.2.

What do the values for S(10) and S'(10) indicate?
A. After 10 months, the total sales are 19,200 DVD's and the sales are increasing at the rate of 1600 DVD's per month.
B. After 10 months, the total sales are 1920 DVD's and the sales are increasing at the rate of 16 DVD's per month.
C. After 10 months, the total sales are 16,000 DVD's and the sales are increasing at the rate of 1920 DVD's per month.
D. After 10 months, the total sales are 16,000 DVD's and the sales are increasing at the rate of 1.92 DVD's per month.

c) Use the results from part (b) to estimate the total sales after 11 months.
After 11 months, the total sales will be approximately how many DVD's?
(Round to the nearest whole number.)

Added by Kayla F.

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