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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+1.8 c
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 degrees Celsius?

◻ degrees Fahrenheit

Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit. $\newline$ $f$ represents the temperature in degrees Fahrenheit as a function of the temperature $c$ in degrees Celsius. $\newline$ $f=32+1.8 c$ $\newline$ What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by $10$ degrees Celsius? $\newline$ $\square$ degrees Fahrenheit

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Evaluate a linear function: word problems

Full solution

Q. Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit.

\newline

f

represents the temperature in degrees Fahrenheit as a function of the temperature

c

in degrees Celsius.

\newline

f=32+1.8 c

\newline

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by

10

degrees Celsius?

\newline

\square

degrees Fahrenheit

Identify Celsius increase: We know that the increase in Celsius is $10$ degrees, so let's call that $\Delta c = 10$ .
Plug into Fahrenheit formula: Now, we plug $\Delta c$ into the formula for Fahrenheit: $\Delta f = 32 + 1.8 \times \Delta c$ . But wait, we don't need the $32$ because we're looking for the increase, not the total temperature. So it's just $\Delta f = 1.8 \times \Delta c$ .
Calculate increase in Fahrenheit: Let's do the math: $\Delta f = 1.8 \times 10$ .
Calculate increase in Fahrenheit: Let's do the math: $\Delta f = 1.8 \times 10$ .So, $\Delta f = 18$ . That's the increase in Fahrenheit for a $10$ degrees Celsius increase.

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