Question

school bands
the equation of the line of best fit is y = 0.677x + 1.77.
based on the line of best fit, approximately how many students are predicted to be in the marching band at a school with 35 students in the concert band?

Explanation:

Step1: Identify the value of x

We know that \( x \) represents the number of students in the concert band, so here \( x = 35 \).

Step2: Substitute x into the line of best fit equation

The equation of the line of best fit is \( y = 0.677x + 1.77 \). Substitute \( x = 35 \) into this equation:

$$
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Since we are looking for the approximate number of students, we can round this value.

Answer:

Approximately 25 (or 25.47 if we keep more decimal places, but usually rounded to a reasonable whole number for the number of students)