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? Round your answer to the nearest week.

a) 3 weeks
b) 4 weeks
c) 5 weeks
d) 6 weeks

Answer 1

To find the number of weeks it will take for the product to sell about 150 units, solve the equation for t when s = 150 and round to the nearest week.

Step-by-step explanation:

To find the number of weeks it will take for the product to sell about 150 units, we need to solve the equation for t when s = 150:

150 = 16√7t + 62

Subtract 62 from both sides:

88 = 16√7t

Divide both sides by 16√7:

t = 88 / (16√7)

Rounded to the nearest week, the answer is approximately 4 weeks.