Let's begin by listing out the information given to us:
The taxi charges $3, plus $1.50 for each mile travelled given by the expression:
[tex]\begin{gathered} C=3+1.5x \\ where\colon x=no\mathrm{}of\mathrm{}miles \end{gathered}[/tex]Mr. Lewis rode in the taxi from his home to the airport and was charged $30 (C = $30). How many miles Mr. Lewis lives from the airport is given by:
[tex]\begin{gathered} C=3+1.5x \\ C=30 \\ 30=3+1.5x \\ \text{Subtract 3 from both sides, we have:} \\ 30-3=3-3+1.5x\Rightarrow27=1.5x\Rightarrow1.5x=27 \\ 1.5x=27 \\ \text{Divide both sides by 1.5, we have:} \\ \frac{1.5x}{1.5}=\frac{27}{1.5}\Rightarrow x=18 \\ x=18miles \\ \\ \therefore Mr\text{ Lewis liv}es\text{ 18 miles away from the airport} \end{gathered}[/tex]Hence, option A is the correct answer
