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Answer this correctly for brainliest pls!!
A car was purchased for $5,895 and will depreciate 22% each year. Two functions are given below to determine the value of the car after t years. V is the value of the car after t years. C is the original cost of the car and r is the rate of depreciation.

function #1) V(t)=C(1-rt) function #2) V(t)=C(1-r)^t

1. Compute the yearly value of the car for the first five years using each function and put the data you computed into two separate tables.
2. Label the tables properly and completely.
3. Graph the two functions on separate Cartesian planes showing the value of the car for the first five years.
4. Label the graphs properly and completely.
5. Write a brief paragraph or two interpreting the graphs by explaining what they mean and describing the trends shown in the graphs.
6. According to each function, how much is the car worth after five years?
7. Analyze the graphs and argue for which graph is more realistic for understanding depreciation. Write a brief paragraph or two as to which graph and data are more realistic for this situation. Make sure you explain why the other answer makes less sense and what assumption(s) a person might be making, consciously or unconsciously, if they chose the other.
8. Write a brief paragraph or two interpreting the graph by explaining what it means. Compare and contrast the information and data you gain from it with the information and data you deduced from the two graphs you created.


Answer This Correctly For Brainliest Pls A Car Was Purchased For 5895 And Will Depreciate 22 Each Year Two Functions Are Given Below To Determine The Value Of T class=

Sagot :

A function that depicts depreciation can be represented as equations, graphs and tables.

The yearly value of each car for the first five years

The functions are given as:

[tex]V(t) =C(1 - r^t)[/tex]

[tex]V(t) =C(1 - r)^t[/tex]

Where:

C = 5895 --- the initial value of the car

r = 22% --- the rate of depreciation

For the first 5 years, the values of t = 1, 2, 3, 4 and 5

For the first function, we have:

[tex]V(1) =5895(1 - 22\%^1) = 4598.1[/tex]

[tex]V(2) =5895(1 - 22\%^2) = 5609.7[/tex]

[tex]V(3) =5895(1 - 22\%^3) = 5832.2[/tex]

[tex]V(4) =5895(1 - 22\%^4) = 5881.2[/tex]

[tex]V(5) =5895(1 - 22\%^5) = 5892.0[/tex]

For the second function, we have

[tex]V(1) =5895(1 - 22\%)^1 = 4598.1[/tex]

[tex]V(2) =5895(1 - 22\%)^2 = 3586.5[/tex]

[tex]V(3) =5895(1 - 22\%)^3 = 2797.5[/tex]

[tex]V(4) =5895(1 - 22\%)^4 =2182.0[/tex]

[tex]V(5) =5895(1 - 22\%)^5 = 1702.0[/tex]

So, the table of values is:

[tex]\left[\begin{array}{ccc}Years&Car\ 1&Car\ 2\\1&4598.1&4598.1\\2&5609.7&3586.5\\3&5832.2&2797.5\\4&5881.2&2182.0\\5&5892.0&1702.0\end{array}\right][/tex]

See attachment for the graphs of the two functions

Interpreting the graphs

The graph of car 1 increases up to C(t) = 5895, and then remains constant as the value of t increases while the graph of car 2 follows an exponential pattern.

This means that, the graph 2 that follows an exponential pattern is more realistic

The worth of the cars after 5 years

From the table, the worth of car 1 is $5892.0, while the worth of car 1 is $1702.0

Read more about graphs and functions at:

https://brainly.com/question/13473114

View image MrRoyal