The Thai Pepper has a hotness rating of 7.5×10

Question

4
on the Scoville scale.

The Red Savina Habanero has a hotness rating of 4.6×10
5
on the Scoville scale.

How many times hotter is the Red Savina Habanero than the Thai Pepper?

(1 point)

Divide
(7.5×10
4
)
(4.6×10
5
)
​
=
7.5
4.6
​
×10
5−4
=0.613×10
1
=6.13 times hotter

Divide
(4.6×10
5
)
(7.5×10
4
)
​
=
4.6
7.5
​
×10
4−5
=1.63×10
−1
=16.3 times hotter

Multiply (7.5×10
4
)⋅(4.6×10
5
)=(7.5×4.6)⋅(10
4+5
)=34.5×10
9
=3.45×10
10
times hotter

Multiply (7.5×10
4
)⋅(4.6×10
5
)=(7.5×4.6)⋅(10
4+5
)=34.5×10
20
=3.45×10
21
times hotter

Answer 1

To find how many times hotter the Red Savina Habanero is compared to the Thai Pepper, we need to divide the Scoville rating of the Red Savina Habanero by the Scoville rating of the Thai Pepper.

Given:

• Thai Pepper: \(7.5 \times 10^4\)
• Red Savina Habanero: \(4.6 \times 10^5\)

Now, we can perform the division:

\[ \frac{(4.6 \times 10^5)}{(7.5 \times 10^4)} = \frac{4.6}{7.5} \times 10^{5-4} = \frac{4.6}{7.5} \times 10^1 \]

Calculating \(\frac{4.6}{7.5}\):

\[ \frac{4.6}{7.5} \approx 0.6133 \]

Now multiplying by \(10^1\):

\[ 0.6133 \times 10^1 = 6.133 \approx 6.13 \]

Therefore, the Red Savina Habanero is approximately 6.13 times hotter than the Thai Pepper. The correct option from the original question is:

Divide
\((4.6 \times 10^5) / (7.5 \times 10^4) = 0.613 \times 10^1 = 6.13 \text{ times hotter.}\)