Consider the function h(x)=18x . Given is a table with x-values that get closer to e≈2.71828182 (Euler’s number) and their corresponding h(x) values. Use the sequence in the table to approximate 18e correct to three decimal places.

(1 point)
Responses

2.718
2.718

2,583
2,583

2,583.357
2,583.357

324

1 answer

To find \( h(e) \) using the function \( h(x) = 18x \), we will substitute \( e \) into the function:

\[ h(e) = 18e \approx 18 \times 2.71828182 \]

Calculating this gives:

\[ h(e) \approx 18 \times 2.71828182 \approx 49.000 - 0.5 = 49.000 - 0.045 = 49.000 - 0.034 = 49.000 - 0.004 - \cdots \]

Now let's compute \( 18 \times 2.71828182 \) precisely:

\[ 18 \times 2.71828182 \approx 49.000 \]

After calculating this value, we can round it to three decimal places.

Now, let's confirm that we accurately performed the multiplication. The computation should be as follows:

\[ 18 \times 2.71828182 = 49.00000076 \]

When rounded to three decimal places, we get:

\[ 49.000 \]

Given the responses listed, it seems they relate to the values of \( 18e \).

Thus, the closest and most appropriate response based on the calculations and rounded value for \( 18e \) correct to three decimal places is:

2,583.357.

Please let me know if you have any more information or different results in a table to analyze!