Question

1. higher order thinking write a verbal description of how these two variables are related. the description must suggest at least two intervals. sketch the graph that represents the verbal description.

time (h)
total people

Explanation:

To solve this, we first create a verbal description. Let's consider a scenario like a concert venue: from 0 - 2 hours (x - axis: time in h, y - axis: total people), people arrive at a steady rate (so the graph is a line with positive slope, e.g., from (0,0) to (2, 500)). Then, from 2 - 4 hours, there's a rush, so the slope is steeper (e.g., from (2, 500) to (4, 1500)). Then, to sketch: draw the x - axis (time) and y - axis (total people). Plot the points for each interval and connect with line segments, ensuring the slope changes to show different rates of people arriving.

Answer:

Verbal Description: "At a concert, from 0 to 2 hours, people arrive at a rate of 250 people per hour (so total people goes from 0 to 500). From 2 to 4 hours, a larger group arrives, with a rate of 500 people per hour (total people goes from 500 to 1500). After 4 hours, the doors close, so total people stays constant (a horizontal line from (4, 1500) onwards, but we focus on two intervals here)."
Sketch: Draw x - axis labeled "Time (h)" and y - axis labeled "Total People". Plot (0,0), (2, 500) and draw a line segment. Then plot (2, 500), (4, 1500) and draw a steeper line segment. (The sketch can be adjusted based on the exact rates, but the key is two intervals with different slopes.)