Liam buys a motorcycle for $2,900. its value depreciates annually at a rate of 12%. at the end of t years, it has a value of less than $2,000. identify whether this situation represents exponential growth or decay.

Hello!

We can first determine the equation of this this real-life situation. The initial value of $2,900 and its value depreciates annually at a rate of 12%. All percentages are out of 100, so 12% is 12/100, can in decimal form, it is 0.12.

Therefore, the exponential equation is: f(x) = 2900(1 - 0.12)^x. This can be simplified to f(x) = 2900(0.88)^x.

When the rate of change is greater than 1, then it is a exponential growth function.

When the rate of change of an exponential function is less than 1, than it is an exponential decay.

Since 0.88 is less than 1 (0.88 < 1), this situation is an exponential decay. Also, depreciation when something diminishes in value over time.

So therefore, this situation represents an exponential decay.

might be the correct answer will be question number 2

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .