Ques 1: Jacqueline is correct as the function is
.
Ques 2: A - 2600 is the initial value of the refrigerator in dollars.
B - Value of the refrigerator increases by 26%
C - Value of the refrigerator after 3 years is $1066.
Step-by-step explanation:
Ques 1: From the table, we have the ordered pairs (0,1) and (1,3).
The slope of the line is given by
= 3
So, we have the equation of the straight line as,
.
Substituting, (0,1) in the equation, we get,
i.e. b= 1
Thus, the equation of the function is,
, which is a linear function.
It can be easily verified that all the points satisfy the equation.
Hence, Jacqueline is correct.
Ques 2: We are given the function as, ![V = 2,600(0.74)^t](/tpl/images/0341/4085/36c69.png)
Part A - Substituting t = 0 in the function, we get,
i.e. V= $2600
That is, 2600 is the initial value of the refrigerator in dollars.
Part B - Since the function is,
![V = 2,600(0.74)^t](/tpl/images/0341/4085/36c69.png)
i.e. ![V = 2,600(1+0.26)^t](/tpl/images/0341/4085/3259e.png)
That is the value of the refrigerator increases by 0.26 rate or 26%.
Part B - We have the function for the value of refrigerator as, ![V = 2,600(0.74)^t](/tpl/images/0341/4085/36c69.png)
So, after 3 years, the value is,
![V = 2,600(0.74)^3](/tpl/images/0341/4085/4ee77.png)
i.e. ![V = 2,600\times 0.41](/tpl/images/0341/4085/f47b4.png)
i.e. V = $1066
Thus, the value of the refrigerator after 3 years is $1066.