The question is an illustration of solving equations using estimates.
The student's strategy makes sense because he uses estimation to solve the given equation
The correct sequence of equation is as follows:
We have:
Add 0 to the equation
Express 0 as 1 - 1
Add another 0
Express 0 as 3 - 3
Rewrite as:
Solve
Read more about estimation and equations at:
Considering the definition of exponential function, the value of the car is 11,287.25 dollars.
<h3>What is exponential function</h3>An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)= aˣ
Being a a positive real, a > 0, and different from 1, a ≠ 1.
When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.
<h3>What is the price of the car</h3>In this case, the value of that car depreciates based on the function f(t)=12,000× where t is measured in years after purchase.
After 3/2 years, the value of the car is calculated as:
f(3/2)=12,000×
Solving:
<u><em>f(3/2)= 11,287.25</em></u>
Finally, the value of the car is 11,287.25 dollars.
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