Question

The sales of a certain product after an initial release can be found by the equation s=16√7t+62 where s represents the total number of units sold and t represents the time in weeks after release. How many weeks will pass before the product sells about 150 units? A. 176 weeks B. 69 weeks C. 4 weeks D. 30 weeks

Answer 1

you want to replace the s with 150 in the equation and then just solve for t.
150=16√7t +62    subtract 62 from both sides
88=16√7t              divide both sides by 16
5.5=√7t                to get rid of the square root  square both sides. 
30.25=7t              now divide both sides by 7
4.3 = t (approximately) 
so at 4 weeks they will have sold 150 units.

Answer 2

In 4 weeks, they will have sold 150 units.

The correct answer is option C. 4 weeks.

Equation that models the sales of the product

The equation that models the sales of the product after an initial release exists:

s = 16√7t + 62

where s denotes the total sales (in thousands) and t denotes

the time in weeks after release.

you want to replace the s with 150 in the equation and then just solve

for t.

150 = 16√7t + 62

Subtract 62 from both sides

150 - 62 = 16√7t + 62

88 = 16√7t

Divide both sides by 16      

5.5 = √7t  

Taking square root on both sides of the equation.    

30.25 = 7t      

Now divide both sides by 7

4.3 = t (approximately)

so in 4 weeks, they will have sold 150 units.

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