SOLUTION: Time (h) 0, 8, 16, 24, 32, 40, 48
Amount (g) 4.84, 4.63, 4.52, 4.45, 4.33, 4.19, 4.08
(a) Find an appropriate exponential model of the data points.
Amount at time t, A(t) =
Algebra.Com
Question 204458: Time (h) 0, 8, 16, 24, 32, 40, 48
Amount (g) 4.84, 4.63, 4.52, 4.45, 4.33, 4.19, 4.08
(a) Find an appropriate exponential model of the data points.
Amount at time t, A(t) =
I know I have to make two equations y=Ca^x
would someone be able to explain the steps please?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Time (h) 0, 8, 16, 24, 32, 40, 48
Amount (g) 4.84, 4.63, 4.52, 4.45, 4.33, 4.19, 4.08
(a) Find an appropriate exponential model of the data points.
Amount at time t, A(t) =
-----------------------
Pick any two points like (8,4.63) and (16,4.52)
Substitute those value into A(t) = a*b^x
4.52 = a*b^16
4.63 = a*b^8
-----
Divide the equation with the lower power into the one with the higher power
to get rid of "a" and to solve for "b":
You get b^8 = 0.9762
Therefore b = 0.9970
----------------------------
Substitute a known b-value into either equation to solve for "a":
4.63 = a*b^8
4.63 = a*0.9762
a = 4.7429
---------
Equation:
A(t) = 4.7429*(0.9970)^x
==================================
Comment: I could have made this easier if I had chosen the
point with x=0 but I wanted to illustrate the general
procedure.
If you calculate the A(t) values using the equation you will
see that they differ slightly from the data you were given.
That is because I rounded off the values of both a and b.
======================================
Cheers,
Stan H.
RELATED QUESTIONS
Weeks Unit
dispensed
11 1
20 1
48 1
55 1
85 1
12 2
32 2
42 2
56 2
67 2
(answered by ikleyn)
A pharmacist working in Black lion Specialized Hospital wants to secure the availability... (answered by ikleyn)
What are the answers to all of these questions?
1. -6k+7k 2. 12r-8-12
3.... (answered by Fombitz)
Refer to the North Valley Real Estate data, which report information on homes sold during (answered by Alan3354,ikleyn)
The Following table given the these scores and sales be nine salesman during last one... (answered by lynnlo)
Aw to prove dat 4+4 is equal to... (answered by Alan3354)
Choose and run the appropriate descriptive statistics to describe the characteristics of... (answered by ikleyn)
ID Sex Ethnicity Age Car Type of info Stresslevel Stressscore
(answered by ikleyn)
A pharmacist working in Black lion Specialized Hospital wants to secure the availability... (answered by ikleyn)