Let's say
a = 215,658
ok... so.. he first lost 1/3 of that

so, his nickname might just be even steven, because, he ended up with the same original amount after the 1/2 bump.
We need to know the function that models the difference in the number of customers visiting the two stores.
We know the function that models the number of customers in the cafeteria
W (x) = 0.002x3 - 0.01x2
We also know the function that models the number of customers who visit the ice cream parlor
R (x) = x2 - 4x + 13
Therefore the difference, D (x), in the number of customers visiting the two stores is:
D (x) = W (x) - R (x)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13
D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>
Step-by-step explanation:
an² = 182
When a = 2, n² = 182/2 = 91, n = 9.539...
When a = 5, n² = 182/5 = 36.4, n = 6.033...
Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.
Therefore our possible values of n are 7, 8 and 9.