The resale value V, in thousands of doillars, of a boat is a function of the num
ID: 3144572 • Letter: T
Question
The resale value V, in thousands of doillars, of a boat is a function of the number of years t since the start of 2011, and the formula is V-14.5-1.1t (a) Cakculate V3) 11.2 thousand dolars Explain in practical terms what your answer means. This means thet the resale value of the boat will be 9 X theusand dolars at the start of the year 2014 (b) tn what year will the resale value be 7.9 thousand (c) Solve for t in the fomula above to ebtain s formla espnga a functian of v (d) In what year will the resale value be 6.5 thausand dollars? Need Help? M Show My Work 2 3 s lockExplanation / Answer
The formula is V = 14.5 - 1.1t
(a) V(3) = 14.5 - 1.1*3 = 14.5 - 3.3 = 11.2
This means that the resale value of the boat will be 11.2 thousand dollars at the start of the year 2014.
(b) When V = 7.9
=> 14.5 - 1.1t = 7.9
=> 1.1t = 14.5 - 7.9
=> 1.1t = 6.6
=> t = 6.6 / 1.1
=> t = 6
The year will be 2017.
(c) V = 14.5 - 1.1t
=> 1.1t = 14.5 - V
=> t = (14.5 - V) / 1.1
=> t = 14.5/1.1 - V/1.1
=> t = 13.18 - 0.91V
d. When V = 6.6,
6.6 = 14.5 - 1.1t
=> 1.1t = 14.5 - 6.6
=> 1.1t = 7.9
=> t = 7.9/1.1
=> t = 7.18
The year will be 2018.