Question

temperature can be measured in two different 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: Identify the formula

The formula for converting Celsius to Fahrenheit is $f = 32+1.8c$.

Step2: Analyze the rate of change

The coefficient of $c$ in the formula $f = 32 + 1.8c$ is 1.8. This means that for every 1 - degree increase in Celsius, the Fahrenheit temperature increases by 1.8 degrees.

Step3: Calculate the increase in Fahrenheit

If the Celsius temperature increases by 10 degrees, we multiply the increase in Celsius (10) by the coefficient 1.8. So the increase in Fahrenheit is $1.8\times10 = 18$ degrees.

Answer:

18 degrees Fahrenheit