Question

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? 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:

• The \(x\)-axis represents hours past 6 p.m. So \(x = 1.5\) means \(1.5\) hours after 6 p.m. Since \(1.5\) hours is \(1\) hour and \(30\) minutes, \(6\) p.m. \(+ 1\) hour \(30\) minutes \(=7:30\) p.m.
• A line of best - fit is used for prediction. The \(y\)-value on the line of best - fit is a predicted value, not an exact count (as the data points are scattered around the line). The point \((x,y)=(1.5,184.3)\) on the line of best - fit means that when \(x = 1.5\) (7:30 p.m.), the predicted number of people \(y = 184.3\) (about 184 people).

Answer:

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