Answer:
Option A
f(x) = 12.5(1.6)^x
Step-by-step explanation:
The number of gnats the scientists have gathered
At 0 hours, they gathered 12 gnats.
Checking all the options, applying x = 0 makes the index part become 1 (Anything raised to the power zero is 1).
So, we have the following functions
f(x) = 12.5
f(x) = 12.6
f(x) = 6.2
f(x) = 1.6
This has reduced our work, as we can screen out options C and D, they are too far from 12. This leaves us with option A and B.
At 1 hour, they gathered 20 gnats.
Checking options A and B
A. f(x) = 12.5(1.6)
= 20
B. f(x) = 12.6(6.2)
By inspection, 12 × 6 is already 72,
12.6 × 6.2 will be more.
By these, we can conclude that f(x) = 12.5(1.6)^x has the best models the number of gnats the scientists have gathered after the number of hours listed in the given table.
Answer:
i think the answer should be 4y(m+3)/a^2
Step-by-step explanation:
Answer: d, eight and fifty-three thousandths
Step-by-step explanation:
The number before the decimal place in the units column is a whole number (8).
The numbers after (.053) are thousandths because the whole number (8.053) consists of 4 numbers the same way a 1000 does.
Sorry I found the last bit harder to put into words, but I hope it helps :)
Initial amount is when no change has happened or when t=0
that iniital amoun tis 1
the growth factor
welll, it grows by 40% each time of previous times
I would say growth factor of 1.4
f(x)=a(b)^t
f(t)=1(1.4)^t
initial amount is 1
grouth factor is 1.4