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,
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,
i.e.
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,
So, after 3 years, the value is,
i.e.
i.e. V = $1066
Thus, the value of the refrigerator after 3 years is $1066.