Question

common units: degrees celsius and degrees fahrenheit. f represents the temperature in degrees fahrenheit as a function of the temperature c in degrees celsius. f = 32 + 1.8c what is the temperature increase in degrees fahrenheit that is equivalent to a temperature increase by 10 degrees celsius?

Explanation:

Step1: 明确已知公式

已知公式$f = 32+1.8c$，$f$是华氏温度，$c$是摄氏温度。

Step2: 计算摄氏温度增加10度后的华氏温度变化

设原来摄氏温度为$c_1$，华氏温度为$f_1 = 32 + 1.8c_1$；摄氏温度增加10度后为$c_2=c_1 + 10$，此时华氏温度$f_2=32+1.8(c_1 + 10)=32+1.8c_1+18$。

Step3: 求华氏温度增加量

华氏温度增加量$\Delta f=f_2 - f_1=(32+1.8c_1+18)-(32 + 1.8c_1)=18$。

Answer:

18