Lauren keeps records of the distances she travels in a taxi and what she pays:
Distance, \(d\), in miles | Fare, \(F\), in dollars |
3 | 8.25 |
5 | 12.75 |
11 | 26.25 |
- If you graph the ordered pairs \((d, F)\) from the table, they lie on a line. How can you tell this without graphing them?
- Show that the linear function in part (a) has equation \(F=2.25d+1.5\).
- What do the 2.25 and the 1.5 in the equation represent in terms of taxi rides?
Commentary
This simple conceptual problem does not require algebraic manipulation, but requires students to articulate the reasoning behind each statement.