Question

EXPONENTIAL AND LOCATHMIC FUNCTIONSFinding a final amount in a word problem on expoA laptop computer is purchased for $900. After each yeaUse the calculator provided and round your answer to theso$?

Answer 1

Since the value is decreased by the same percentage each year, we will use the Growth/decay exponential function

`y=a(b)^x`

Where

a is the initial value

b is the factor of growth/decay

x is the time

y is the new value

Since the price of the laptop is $900, then

a = 900

It decreases by 30% each year, then

b = 100% - 30% = 70% = 70/100 = 0.7

It does that for 5 years, then

x = 5

Find y

Let us substitute these values in the rule above

`y=900(0.7)^5`

Use the calculator to find the answer

y = 151.263

Round it to nearest dollars means to nearest whole number

y = 151 dollars