Question

The function j(x)=248(1.5)x represents the value , in dollars , of an antique x years since the antique was initially appraised. What is the value of j (4) ?

Answer 1

The function j(4)=248(1.5)^4 provides the value of an antique after 4 years. Upon calculation, the value j(4) is approximately equal to 1255.5 dollars.

Step-by-step explanation:

To determine the value of j(4), the function j(x)=248(1.5)x has to be evaluated when x is 4. Evaluation of exponential functions is a fundamental concept in Algebra. We'll follow a simple step:

1. Substitute x with 4 in the function to get j(4)=248(1.5)4.
2. Calculate the value of (1.5)4, which is approximately 5.0625.
3. Multiply this result by 248 to get the final value, which would result in j(4) ≈ 1255.5 dollars.

The calculation shows that, after 4 years, the value of the antique has increased to approximately 1255.5 dollars, given its exponential growth rate.