Question

anand 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 ( (1.25, 120.3) ) on the line of best fit represent?

graph with x-axis labeled hours past 6 p.m. and y-axis labeled people inside music hall, showing a line of best fit with the point (1.25, 120.3) marked

answer

• at 1:15, there were exactly 120 people in the music hall.
• at 7:15, there were exactly 120 people in the music hall.
• at 1:15, anand should expect about 120.3 people in the music hall.
• at 7:15, anand should expect about 120.3 people in the music hall.

Explanation:

• The \(x\)-axis represents hours past 6 p.m. Since \(x = 1.25\) (where \(1.25\) hours \(=1\) hour and \(15\) minutes), this corresponds to 7:15 p.m.
• The \(y\)-axis represents the number of people inside the music hall. The line of best - fit is a prediction line. So, the \(y\)-value of the point on the line of best - fit is a predicted value, not an exact value.

Answer:

At 7:15, Anand should expect about 120.3 people in the music hall.