Question

The number of box fans in a general store is modeled by f(x) = -12x + 144, where x represents the number of weeks after restocking, and 0 ≤ x ≤ 12. What is the initial number of box fans when x = 0?

1) 0 box fans
2) 12 box fans
3) 132 box fans
4) 144 box fans

Answer 1

The initial number of box fans when x = 0 is 144.

So, the correct answer is option 4) 144 box fans.

Step-by-step explanation:

The function f(x) = -12x + 144 represents the number of box fans in a general store. In this function, x represents the number of weeks after restocking, and 0 ≤ x ≤ 12. To find the initial number of box fans when x = 0, we substitute x = 0 into the function:

f(0) = -12(0) + 144

f(0) = 0 + 144

f(0) = 144

Therefore, the initial number of box fans when x = 0 is 144. So, the correct answer is option 4) 144 box fans.