Question

1. stephen is worried he has a fever. his dad is a scientist though, and only has a thermometer that measures in kelvin, and it measures stephen’s temperature to be 312 kelvin. if stephen’s temperature is above 100°f, he isn’t allowed to go to school. can stephen go to school today? show all work to support your answer.

Explanation:

Step1: Recall the Kelvin to Fahrenheit conversion formula

The formula to convert Kelvin (K) to Fahrenheit (°F) is $F = \frac{9}{5}(K - 273.15)+ 32$.

Step2: Substitute the given Kelvin value

We know that $K = 312$. Substitute this into the formula:
First, calculate $K - 273.15$: $312 - 273.15 = 38.85$.
Then, multiply by $\frac{9}{5}$: $\frac{9}{5}\times38.85 = 9\times7.77 = 69.93$.
Finally, add 32: $69.93+ 32 = 101.93$.

Step3: Compare with 100°F

We found that Stephen's temperature in Fahrenheit is $101.93^{\circ}\text{F}$, which is above $100^{\circ}\text{F}$.

Answer:

No, Stephen cannot go to school today because his temperature is $101.93^{\circ}\text{F}$ which is above $100^{\circ}\text{F}$.