A taxicab company charges $\$ 6$ for a trip up to 1 mile, and $\$ 5$ for every extra mile (or portion of a mile). Graph the ordered pairs $( m , c )$, where $m$ represents the miles traveled and $c$ represents the cost.

Question

Quizplus · Accepted Answer

- For up to 1 mile, the cost is $6$, which means the point $(1,6)$ is on the graph.
- For every extra mile, the cost is $5$, which means each additional mile will contribute a slope of $5$ to the graph. Thus, for any $m>1$, we have $c=5(m-1)+6=5m+1$. This gives us the points $(2,11), (3,16), (4,21),$ and so on.

Therefore, the graph passes through the points $(1,6),(2,11),(3,16),(4,21),$ and so on, which is option A.

A Taxicab Company Charges $6\$ 6$6 For a Trip Up to 1 Mile, And

A Taxicab Company Charges $\$ 6$ For a Trip Up to 1 Mile, And