Solve. Use interval notation to express the range.
-The formula for converting Fahrenheit temperature, $F$, to Celsius temperature, $C$, is
$$C = \frac { 5 } { 9 } ( F - 32 ) \text {. }$$
If Celsius temperature ranges from $- 10 ^ { \circ }$ to $45 ^ { \circ }$, inclusive, what is the range for the Fahrenheit temperature?
A) $[ 14,113 ]$
B) $( - 19 , - 13 )$
C) $( 14,113 )$
D) $[ - 19 , - 13 ]$

Question

Quizplus · Accepted Answer

To find the Fahrenheit range corresponding to the Celsius range of $[-10, 45]$, we use the formula $C = \frac{5}{9}(F - 32)$. For $C = -10$, solving for $F$ gives $F = \frac{9}{5}(-10) + 32 = 14$. For $C = 45$, solving for $F$ gives $F = \frac{9}{5}(45) + 32 = 113$. Therefore, the Fahrenheit range is $[14, 113]$.

Solve Use Interval Notation to Express the Range FFF , to Celsius Temperature

Solve Use Interval Notation to Express the Range $F$ , to Celsius Temperature