The sales of a certain product after an initial release can be found by the equation given below, where s represents the total sales (in thousands) and t represents the time in weeks after release. Estimate the sales after 10 weeks.
s=16sqrt(3t)+25

Question

The sales of a certain product after an initial release can be found by the equation given below, where s represents the total sales (in thousands) and t represents the time in weeks after release. Estimate the sales after 10 weeks.
s=16sqrt(3t)+25

anonymous · Answer

calculator exercise
put $x=10$

mathstudent55 · Answer

Plug in 10 for t and calculate s.

ddcamp · Answer

Replace the t in the given equation with 10:
16×sqrt(3×10) + 25

anonymous · Answer

is that 3 times 10 or 3x10 @DDCamp

anonymous · Answer

it is 30

anonymous · Answer

would you subtract 25 on both sides?

ddcamp · Answer

No need to subtract, just plug it into your calculator and you'll get a decimal value for s.

anonymous · Answer

112.63?

ddcamp · Answer

Yup, but make sure you round correctly (the digit after the 3 is a 5)
112.635 → 112.64

mathstudent55 · Answer

$s = 16\sqrt{3t} + 25$

First, substitute 10 for t:

$s = 16\sqrt{3\times 10} + 25$

Do the multiplication inside the root.

$s = 16\sqrt{30} + 25$

Calculate teh root:

$s = 16 \times 5.477  + 25$

Multiply 16 and 5.477:

$s = 87.636 + 25$

Add

$s = 112.6 $

$ \text{Answer:} ~~$112,600 ~~\text{in sales} $