Answer
The temperature of the lizard ranges from $59°F$ to $85°F$.
Work Step by Step
We have a lizard whose temperature ranges from $15°C$ to $30°C$.
The range of temperatures in Celsius can be represented by the inequality:
$15\leq C \leq 30$
To convert it into Fahrenheit, we will have to substitute $\frac{5}{9}(F-32)$ for $C$
$15\leq \frac{5}{9}(F-32) \leq 30$
To get rid of extra terms in the middle part, multiply each expression by $\frac{9}{5}$
$27\leq F-32 \leq 53$
Now add $32$
$59\leq F \leq 85$
The temperature of the lizard ranges from $59°F$ to $85°F$