Question

after 6 p.m, which delivery person was the first to return to the pizzeria? how do you know?
a) lauren: her graph has a steeper slope. this means that she drove faster and returned to the pizzeria first.
b) lauren: her graph intersects the x - axis before tims graph. this means her distance from the pizzeria was 0 before tims distance from the pizzeria was 0.
c) tim: his graph intersects the x - axis after laurens graph. this means his distance from the pizzeria was 0 before laurens distance from the pizzeria was 0.
d) tim: his graph indicates that he did not travel as far as lauren. this means that he did not have to travel as far to return to the pizzeria.

Explanation:

Step1: Analyze the graph

The x - axis represents time and the y - axis represents distance from the pizzeria. When the distance from the pizzeria is 0, it means the person has returned to the pizzeria.

Step2: Check the intersection with x - axis

The graph of Lauren intersects the x - axis (distance = 0) before Tim's graph.

Answer:

B) Lauren; Her graph intersects the x - axis before Tim's graph. This means her distance from the pizzeria was 0 before Tim's distance from the pizzeria was 0.