Question

18) A taxi charges $3, plus $1.50 for each miletraveled. Mr. Lewis rode in the taxi fromhis home to the airport and was chargedS30. How many miles does Mr. Lewislive from the airport?A) 18 miles B) 22 milesC) 16 miles D) 20 miles

Answer 1

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:

`\begin{gathered} C=3+1.5x \\ where\colon x=no\mathrm{}of\mathrm{}miles \end{gathered}`

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:

`\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:} \\ (1.5x)/(1.5)=(27)/(1.5)\Rightarrow x=18 \\ x=18miles \\ \\ \therefore Mr\text{ Lewis liv}es\text{ 18 miles away from the airport} \end{gathered}`

Hence, option A is the correct answer