Suppose that the dollar value v(t) of a certain car that is f years old is given by the following exponential function.
v(t)=26,000 (1.14)'
Find the initial value of the car.
$
Does the function represent growth or decay?
growth
decay
By what percent does the value of the car change each year?

Suppose that the dollar value vt of a certain car that is f years old is given by the following exponential function vt26000 114 Find the initial value of the c class=

Respuesta :

Step-by-step explanation:

an exponential growth/decay function is built the Goering way :

v(t) = initial value × (1 + growth rate)^t

as every time period the previous value is multiplied by (1 + growth rate). if the growth rate is positive, we have a true growth, and the values get larger and larger.

if the growth rate is negative, we have decay.

and this is the strange thing here : the value of a car is usually determined over time by decay. and not by growth as indicated here.

so, the initial value was $26,000

as 1.14 > 1, it means that the growth rate is positive (0.14), and we have growth here.

the growth (rate) is 14% (0.14 × 100) each year.

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