Question

The number of T-shirt sales for a new online store increases by a factor of 3 each month. The function `f\left(x\right)=3^{x}` represents the number of T-Shirts sold in month x.

Answer 1

In this case, x represents the number of months since the store opened.

For month 1, x = 1:
f(1) = 3^1 = 3
So, in month 1, the store sold 3 T-shirts.

For month 2, x = 2:
f(2) = 3^2 = 9
So, in month 2, the store sold 9 T-shirts.

For month 3, x = 3:
f(3) = 3^3 = 27
So, in month 3, the store sold 27 T-shirts.

The number of T-shirts sold each month is increasing exponentially, with each month selling 3 times as many T-shirts as the previous month.

Answer 2

what is f(5)

Answer 3

To find the number of T-shirts sold in month 5, we need to evaluate the function f(x) at x = 5.

f(5) = 3^5 = 243

So, in month 5, the store sold 243 T-shirts.

Answer 4

when does the store sell 81 t shirts

Answer 5

To find when the store sells 81 T-shirts, we need to solve the equation:

f(x) = 3^x = 81

3^x = 81
3^x = 3^4

Since 3^4 = 81, x = 4.

Therefore, the store sells 81 T-shirts in month 4.