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The resale value V, in thousands of dollars, of a boat is a function of the number of years t since the start of 2011, and the formula is

Question

The resale value V, in thousands of dollars, of a boat is a function of the number of years t since the start of 2011, and the formula is

V = 12.5 − 1.3t.

(a) Calculate V(3).

(b) In what year will the resale value be 7.3 thousand dollars?

(c) Solve for t in the formula above to obtain a formula expressing t as a function of V.

(d) In what year will the resale value be 3.4 thousand dollars?

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Mathematics
2 months
2021-08-19T04:51:28+00:00
2021-08-19T04:51:28+00:00 1 Answers
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## Answers ( )

Answer:a)V(3) = 8.6.b)The resale value will be 7.3 thousand dollars at the start of 2015.c)d)2017Step-by-step explanation:We are given the following function:(a) Calculate V(3).This is V when t = 3. So

So

V(3) = 8.6.

(b) In what year will the resale value be 7.3 thousand dollars?t years after the start of 2011, and t is found when . So

2011 + 4 = 2015

The resale value will be 7.3 thousand dollars at the start of 2015.

(c) Solve for t in the formula above to obtain a formula expressing t as a function of V.(d) In what year will the resale value be 3.4 thousand dollars?t years after 2011, and t is found t when . So

2011 + 6.62 = 2017

So the year is 2017.