Question

the data in the table compares \\(x\\), the number of pages in a chapter, to \\(y\\), the amount of time, in minutes, spent reading. the function \\(y = 0.86x - 0.09\\) models the data in the table.

which is the best prediction for the number of pages in a chapter that takes 18 minutes to read?

15
17
19
21

Explanation:

Identify the given model and target value

The linear model is:

$$y = 0.86x - 0.09$$

where:

• \(x\) is the number of pages in a chapter.
• \(y\) is the time spent reading in minutes.

We are given \(y = 18\) minutes and need to find the best prediction for \(x\).

Solve the equation for x

Substitute \(y = 18\) into the equation:

$$18 = 0.86x - 0.09$$

$$18.09 = 0.86x$$

$$x = \frac{18.09}{0.86}$$

$$x \approx 21.03$$

Select the closest option

The calculated value \(x \approx 21.03\) is closest to \(21\).

Answer:

• 15
• 17
• 19
• 21 (Correct answer)