SOLUTION: I don't even understand this let alone know how to answer it, could someone please explain? it would be really appreciated. The following is an exponential relationship between

Question 490262: I don't even understand this let alone know how to answer it, could someone please explain? it would be really appreciated.
The following is an exponential relationship between unemployment rate, U, and inflation rate, I depicted by the function
I = 24e^(-0.3U)
a. Sketch a graph of this function, for domain 0 ≤ U ≤ 10
b. Rearrange the formula for the above function to make U the subject.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The following is an exponential relationship between unemployment rate, U, and inflation rate, I depicted by the function
I = 24e^(-0.3U)
a. Sketch a graph of this function, for domain 0 ≤ U ≤ 10
Rewrite the given equation using x & y, more understandable for graphing it
y = 24e^(-.3x)
They want us to plots this for x=0 to x=10, using a calc, substitute values for x and find y using the given equations, round to the nearest 10th
:
x | y
-------
0| 24;;; y = 24*e^(-.3*0)"
1| 17.8; y = 24*e^(-.3*1)
2| 13.2; y = 24*e^(-.3*2)
4| 7.2;; y = 24*e^(-.3*4)
6| 4.0;; y = 24*e^(-.3*6)
8| 2.2;; y = 24*e^(-.3*8)
10| 1.2;; y = 24*3^(-.3*10)
:
Plot these x/y points, it should look like this:

:
:
b. Rearrange the formula for the above function to make U the subject.
I = 24*e^(-.3u)
divide both sides by 24, and write it:
=
Find the natural log of both sides
=
using the log equiv of exponents
=
the ln of e is 1, so we can write it;
-.3u =
divide both sides by -.3
u = *
or using decimals we can write it
u =

RELATED QUESTIONS
Sin θ=4/5, cos θ=-3/5 I need to find θ but I don't understand how to solve for it. If (answered by MathLover1)

I'm so confused on what my math teacher is asking... Sin θ=4/5, cos θ=-3/5 I need to... (answered by MathLover1,math_tutor2020,ikleyn,mccravyedwin)

What is the total interior angle of a regular polygon if t=20 triangles can be drawn... (answered by Alan3354,josgarithmetic)

In how many ways could five different envelopes be distributed into three mailboxes? The... (answered by ikleyn)

Let n∈N. Since ≡n is an equivalence relation on Z. The set of ≡n equivalence... (answered by ikleyn)

Correct and explain why this is wrong 0/(-5) = -5 I know the correct answer is 0 but... (answered by MathLover1)

2x+y=-4 x+y=-7 Find the first variable and isolate it. Then solve for that variable.... (answered by Alan3354,Theo,MathTherapy)

Do functions have to be even or odd, necessarily? i have this question here for a take... (answered by kev82)

What would be the solution for x in the rational equation: x^2/(x-3) = (x+2)/(2x-5) (answered by josgarithmetic)