Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
You would subtract 3/8-2/8, which equals 1/8. For drawing a model draw fraction strips to help.
:)
Answer:
x = (+ - ) 9
Step-by-step explanation:
x^2 = 81
u know how u can sometimes cancel something out by doing the opposite.
This is one of those times as well. the opposite of ^2 = square root.
so if we take the square root of both sides, this will cancel out the^2 on the left side.
sqrt (x^2) = sqrt(81)
x = (+-) 9.....thats a positive and a negative sign...because the sqrt of 81 is both 9 and -9.
Answer:
He will be able to eat nine times.
Step-by-step explanation:
Because nine times nine is 91 which is on one less then what he has, so that means he will be able to eat there nine times. Hope I helped
