If the value of a tv is $1500, and it's value decreases by 14% each year, how do I write a function that represents the value y of the tv after t years

value of the tv = $1500

Decrease rate per year = 14%

14% of $1500 = (14 x 1500) / 100

14% of $1500 = 21000/100

14% of $1500 = 210

In first year depreciation would be y - 210 (t) = 1500 - 210 (1) = 1290

The function to calculate y after t years would be : y - 210 (t)

The function would be y - 210 (t)

Step-by-step explanation:

If the value of the TV decreases by 14% each year, then the rate is exponential.

We would apply the formula for exponential growth which is expressed as

A = P (1 + r/n) ^ nt

Where

A represents the price of the TV after t years.

n represents the periodic rate at which the decrease is calculated.

t represents the number of years.

P represents the initial price of the TV.

r represents rate of decrease in value of the TV.

From the information given,

P = $1500

r = 14% = 14/100 = 0.14

n = 1

A = y

Therefore, the function would be

y = 1500 (1 + 0.14/1) ^ 1 * t

y = 1500 (1.14) ^t