So the function is

the intial value is where x=0
where x=0, the value of f(0)=3
grouth is 1/3 but it is decay, so it might be correct, or not because it is decay
it is exponential decay
true it is a stretch of the funciton f(x)=(1/3)^x
when x=3, then f(3)=1/9
the true things are
The function shows exponential decay.
The function is a stretch of the function f(x) = (1/3)x .
Solution:
Two rows of tapes will fit in the box.
Box wide = 10 inches
Each tape wide = 5/8 inches
10/ (5/8) = (10 * 8)/5
= 16
There are two in each row. So, 32 tapes will fit in the box.
Option 1. If you have to pay $42 per person and you have 72 people to pay for you multiply 42X72= $3,024
It is more efficient to pay $500 per night
Tangent is the ratio opposite/adjacent
tan(angle) = opposite/adjacent
tan(x) = 8/5
tan(x) = 1.6
x = arctan(1.6)
x = 57.9946
x = 58 degrees which is the answer
The answer is approximate to the nearest whole number. Make sure your calculator is in degree mode.