The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.
$$F = \frac { 9 } { 5 } C + 32$$
What is the $F$-intercept and what does it represent?
A) $\frac { 9 } { 5 }$, Fahrenheit temperature corresponding to $0 ^ { \circ } \mathrm { C }$
B) $\frac { 9 } { 5 }$, Celsius temperature corresponding to $32 ^ { \circ } \mathrm { C }$
C) 32 , Celsius temperature corresponding to $0 ^ { \circ } \mathrm { F }$
D) 0 , Fahrenheit temperature corresponding to $32 ^ { \circ } \mathrm { C }$
E) 32 , Fahrenheit temperature corresponding to $0 ^ { \circ } \mathrm { C }$

Question

Quizplus · Accepted Answer

The $F$-intercept is the value of $F$ when $C=0$.

Substituting $C=0$ into the equation gives us:

$$F=\frac{9}{5}\cdot0+32=32$$

Therefore, the $F$-intercept is 32 and represents the Fahrenheit temperature corresponding to 0 degrees Celsius. Therefore, the correct choice is $\boxed{\text{(E)}}$.

The Relationship Between the Fahrenheit and Celsius Temperature Scales Is F=95C+32F = \frac { 9 } { 5 } C + 32F=59​C+32

The Relationship Between the Fahrenheit and Celsius Temperature Scales Is $F = \frac { 9 } { 5 } C + 32$