Question

James had a peach that was 98 mm in diameter. One day he watered it with a magical solution, and it grew to 188,869 mm in diameter . how many times as large did the diameter of the peach become after James watered it?

2*10^3

9*10^3

2*10^4

9*10^4

Answer 1

To determine how many times as large the diameter of the peach became after being watered with the magical solution, we can simply divide the final diameter by the original diameter.

The original diameter of the peach is 98 mm, and it grew to 188,869 mm.

Now, we calculate:

\[
\text{Growth factor} = \frac{\text{Final diameter}}{\text{Original diameter}} = \frac{188,869 \text{ mm}}{98 \text{ mm}}
\]

Calculating this gives:

\[
\text{Growth factor} \approx 1925.68
\]

Now, we can express this in scientific notation.

1925.68 is approximately \(1.926 \times 10^3\).

However, we note that the options given are in the format of \(2 \times 10^3\), \(9 \times 10^3\), \(2 \times 10^4\), and \(9 \times 10^4\). The closest value from the options is \(2 \times 10^3\).

Therefore, the diameter of the peach became approximately **2 times as large** or \(2 \times 10^3\) times after James watered it.