High School

Relations and Functions

The function [tex]F(C) = 1.8C + 32[/tex] represents the temperature in Fahrenheit, [tex]F[/tex], as a function of the temperature in Celsius, [tex]C[/tex].

Find the temperature in Fahrenheit when the temperature in Celsius is [tex]-3[/tex].

Answer :

To find the temperature in Fahrenheit when the temperature in Celsius is -3, we need to use the given function:

[tex]\[ F(C) = 1.8C + 32 \][/tex]

We'll follow these steps:

1. Substitute the given Celsius temperature (which is -3) into the function.
2. Perform the multiplication inside the function.
3. Add the result of the multiplication to 32 to get the final temperature in Fahrenheit.

Let's go through these steps in detail:

1. Substitute -3 for [tex]\( C \)[/tex] in the function:
[tex]\[
F(-3) = 1.8(-3) + 32
\][/tex]

2. Multiply 1.8 by -3:
[tex]\[
1.8 \times -3 = -5.4
\][/tex]

3. Add -5.4 to 32:
[tex]\[
-5.4 + 32 = 26.6
\][/tex]

So, the temperature in Fahrenheit when the temperature in Celsius is -3 is:

[tex]\[ 26.6^\circ \text{F} \][/tex]