Question

questions
levi keeps track of the number of people inside a music hall to attend a concert by looking at the number of scanned tickets. he plotted the data on the graph below, where ( x = 0 ) represents the time at 6 p.m., then drew a line of best fit. what does the point ( (1.5, 184.3) ) on the line of best fit represent?

graph with x - axis \hours past 6 p.m.\ and y - axis \people inside music hall\, showing the point (1.5, 184.3)

answer
☐ at 1:30, there were exactly 184 people in the music hall.
☐ at 7:30, there were exactly 184 people in the music hall.
☐ at 7:30, levi should expect about 184.3 people in the music hall.
☐ at 1:30, levi should expect about 184.3 people in the music hall.

Explanation:

Step1: Interpret the x - value

The variable \(x\) represents the number of hours past 6 p.m. So, when \(x = 1.5\), we calculate the time. Since 1.5 hours is 1 hour and 30 minutes, adding this to 6 p.m. gives us 7:30 p.m.

Step2: Interpret the y - value

The y - value in the point \((1.5,184.3)\) on the line of best fit represents the predicted (expected) number of people in the music hall. A line of best fit gives a prediction, not an exact count. So, the \(y\) - value of 184.3 is the expected number of people.

Answer:

At 7:30 p.m., Levi should expect about 184.3 people in the music hall.