The value of a Bayliner VR5 boat is based on its use in years is modeled by V(t) = 26999(0.625)^t, where is the value in dollars and t is the time in years. Jessica had to take out a loan to purchase this boat. The function Z(t) = 24000(0.735)^t, where is measured in dollars, and t is the time in years, models the unpaid amount of Jessica's loan over time. Graph and over the interval 0 less than/equal to t less than/equal to 5, on the set of axes below. State when V(t)=Z(t), to the nearest hundredth, and interpret its meaning in the context of the problem.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

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