Question

Write an exponential equation using y = a(b)^x thatrepresents the growth or decay of the situation.The value of a truck with the initial purchase price of $60,000depreciates by 12% every year. Please write a let statementand an equation that represents the car's value over time.

Answer 1

Step-by-step explanation:

The modeled equation is given as

y = a(b)^x

Let a = initial amount and b = rate

Since the rate decreases every year

Therefore, rate = (100 - 12)%

Rate = 88%

Rate = 88/100

Rate = 0.88

Therefore, the total amount of the car keep depreciating

y = 60, 000(0.88)^x

y = 60(0.88)^x

Where x = number of yearsT