Question

for each scenario below, choose the best graph.
(a) rita stays in new york instead of flying to texas.
(b) keiko reduces her speed on her bike.

Explanation:

Part (a)

Step1: Analyze the scenario

Rita stays in New York, so her distance to Texas remains constant over time. We need a graph where the \( y \)-axis (distance to Texas) is constant as \( x \)-axis (time) increases.

Step2: Evaluate each graph

• First graph: Distance decreases over time (she would be moving towards Texas), not staying.
• Second graph: Distance starts at 0 and increases (moving away), not staying.
• Third graph: Vertical line (abrupt change), not constant.
• Fourth graph: Horizontal line (distance remains same as time increases), matches the scenario.

Step1: Analyze the scenario

Keiko reduces her speed, so speed should decrease over time. We need a graph where \( y \)-axis (speed) decreases as \( x \)-axis (time) increases.

Step2: Evaluate each graph

• First graph: Speed decreases over time (matches reducing speed).
• Second graph: Speed increases over time (opposite of reducing).
• Third graph: Vertical line (abrupt change), not a speed reduction over time.
• Fourth graph: Speed remains constant (not reducing).

Answer:

The fourth graph (Rita's Distance to Texas vs Time with a horizontal line)

Part (b)