SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given exponential function
[tex]f\mleft(x\mright)=13500\cdot0.89^x[/tex]
STEP 2: Explain the standard exponential function
Exponential function is given as
[tex]y=a\cdot b^x[/tex]
where:
a is the initial or starting value of the function,
b is the growth factor or growth multiplier. b determines the rate at which the graph grows or decays.
STEP 3: Compare the given function with the standard exponential function
[tex]\begin{gathered} \text{By comparison,} \\ a=13500 \\ b=0.89 \end{gathered}[/tex]
STEP 4: Mention the condition for determining a growth or decay in an exponential function.
If a is positive and b is greater than 1, then it is an exponential growth
If a is positive and b is less than 1 buth greater than 0, then it is an exponential decay.
STEP 5: Reach a conclusion
It can be seen from Step 3 that a is positive(13500) and b(0.89) is greater than zero but less than 1, therefore this implies according to the condition in step 4 that the value of the scooter is decaying.
