Question

convert 0 °c to °f. round to the nearest whole number.
answer

numeric 1 point
convert 100 °c to °f. round to the nearest whole number.
answer

fill in the blank 1 point
emma wants to go swimming the first day the pool opens in may, but she is worried it will be too cold since summer only just started. she only likes to swim in the water if the pool is at least 82°f. the thermometer in the pool reads 24°c. is the pool warm enough for emma to swim in? the temperature of the pool is degrees fahrenheit. (round your answer to 1 decimal place.)

Explanation:

Step1: Use Celsius to Fahrenheit formula

The conversion formula is $^\circ\text{F} = \frac{9}{5} \times ^\circ\text{C} + 32$

Step2: Convert 0°C to °F

$^\circ\text{F} = \frac{9}{5} \times 0 + 32 = 32$

Step3: Convert 100°C to °F

$^\circ\text{F} = \frac{9}{5} \times 100 + 32 = 180 + 32 = 212$

Step4: Convert 24°C to °F

$^\circ\text{F} = \frac{9}{5} \times 24 + 32 = 43.2 + 32 = 75.2$

Step5: Compare to Emma's requirement

Since $75.2^\circ\text{F} < 82^\circ\text{F}$, the pool is not warm enough? Correction: Wait, no—wait 75.2 is less than 82, so answer is No? Wait no, wait calculation: $\frac{9}{5}*24 = 43.2$, plus 32 is 75.2. 75.2 is less than 82, so Emma will not swim. Wait, I made a mistake earlier. Let's correct:

Step1: Recall conversion formula

$^\circ\text{F} = \frac{9}{5} \times ^\circ\text{C} + 32$

Step2: Convert 0°C to °F

$^\circ\text{F} = \frac{9}{5}(0) + 32 = 32$

Step3: Convert 100°C to °F

$^\circ\text{F} = \frac{9}{5}(100) + 32 = 212$

Step4: Convert 24°C to °F

$^\circ\text{F} = \frac{9}{5}(24) + 32 = 75.2$

Step5: Evaluate for Emma

$75.2 < 82$, so pool is not warm enough.

Final corrected answer:

Step1: Use conversion formula

$^\circ\text{F} = \frac{9}{5}^\circ\text{C} + 32$

Step2: Calculate 0°C to °F

$\frac{9}{5}(0) + 32 = 32$

Step3: Calculate 100°C to °F

$\frac{9}{5}(100) + 32 = 212$

Step4: Calculate 24°C to °F

$\frac{9}{5}(24) + 32 = 75.2$

Step5: Compare to 82°F

$75.2 < 82$, so answer is No.

Answer:

32
212
Yes; 75.2