Question

The table shows the numbers y of students absent from school x days after a flu outbreak.

Answer 1

1. A function that models the data is given by this quadratic equation, y = -0.4908x² + 5.8845x + 1.3572.
2. The number of students that are absent 10 days after the outbreak is equal to 11 students.

What is a scatter plot?

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

What is a quadratic function?

A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the quadratic function is given by:

y = -0.4908x² + 5.8845x + 1.3572

For the number of students that are absent 10 days after the outbreak, we have:

y = -0.4908(10)² + 5.8845(10) + 1.3572

y = -0.4908(100) + 58.845 + 1.3572

y = -49.08 + 58.845 + 1.3572

Number of students, y = 11.12 ≈ 11 students.

Read more on scatterplot here: brainly.com/question/6592115

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