Question
In Arcadia, the average low temperature for January was \( 45^{\circ} \mathrm{F} \). The average low in February was \( 20 \% \) higher. What was the average low in February?
Ask by French Frazier. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The average low temperature in February was 54°F.
Solution
To find the average low temperature in February, increase January's temperature of 45°F by 20%.
Step 1: Calculate 20% of 45°F:
20% of 45°F = 0.20 × 45°F = 9°F.
Step 2: Add the increase to January's temperature:
45°F + 9°F = 54°F.
Therefore, the average low temperature in February was 54°F.
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Simplify this solution Beyond the Answer
To find the average low temperature for February, we start with the average low temperature for January, which is \( 45^{\circ} \mathrm{F} \). Since February’s average low is \( 20\% \) higher, we first calculate \( 20\% \) of \( 45 \): \[ 20\% \text{ of } 45 = 0.20 \times 45 = 9. \] Next, we add this increase back to the January temperature: \[ 45 + 9 = 54. \] Therefore, the average low temperature in February was \( 54^{\circ} \mathrm{F} \).
