contestada

what base could be written in the blank to make the exponential function model 15% decay ? y= (____) ^t\12

what base could be written in the blank to make the exponential function model 15 decay y t12 class=

Respuesta :

carlosego
For this case we have a function of the form:
 [tex]y = A * (b) ^ t [/tex]
 Where,
 A: it is the initial amount
 b: decrease rate (b <1)
 t: time (years, months, days)
 We have the following function:
 [tex]y = (b) ^ {( \frac{1}{12} t)} [/tex]
 The value of base b is:
 [tex]b = (100-15) / (100) b = 0.85[/tex]
 The function is:
 [tex]y = (0.85) ^ {( \frac{1}{12} t)} [/tex]
 Answer:
 the base of the function is:
 [tex]b = 0.85[/tex]

The base of the function should be b = 0.85

Calculation of the base of the function:

The form of the function should be

[tex]y = a\times (b)^t[/tex]

Where,

A should be the initial amount

b decrease rate (b <1)

t be time (years, months, days)

Now

[tex]y = b^\frac{1t}{12}[/tex]

So, the value of the base should be

[tex]= (100-15)\div 100[/tex]

= 0.85

So, the function should be[tex]= 0.85^{(1\div 12)t[/tex]

learn more about the function here: https://brainly.com/question/5869935

Otras preguntas