The Thai Pepper has a hotness rating of 7.5×10^4 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?
Responses
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
Divide (4.6×10^5)/(7.5×10^4)=4.6/7.5×10^(5−4)=0.613×10^1=6.13 times hotter
Divide (7.5×10^4)/(4.6×10^5)=7.5/4.6×10^(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))=34.5×10^20=3.45×10621
The correct answer is:
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
explain and make sure
To determine how many times hotter the Red Savina Habanero is compared to the Thai Pepper, we can divide their Scoville scale ratings.
The Scoville scale is a measurement of the concentration of capsaicin, the compound responsible for the spiciness of peppers. A higher Scoville rating indicates a hotter pepper.
In this case, the rating for the Thai Pepper is 7.5×10^4 and the rating for the Red Savina Habanero is 4.6×10^5.
To calculate the ratio of their hotness, we divide 4.6×10^5 by 7.5×10^4:
(4.6×10^5)/(7.5×10^4) = 4.6/7.5 × 10^(5-4) = 0.613×10^1 = 6.13
Therefore, the Red Savina Habanero is approximately 6.13 times hotter than the Thai Pepper.