Question

For a class project, students collect data about the ages of the male students (a) and their heights in inches (h). There was a positive linear relationship between a and h that is best modeled by the equation h=1.6a+41 .

What statement is true?

The students collected data from 41 students.

The model predicts that for each year older a male student is, he is about 1.6 inches taller.

The model predicts that for 41 surveyed male students, the average student grew about 1.6 inches in the last year.

The average height of the surveyed students was 41 inches.

Answer 1

Since the equation, h=1.6a+41, is linear, we know that the coefficient of x, or in this case a, is the slope. Therefore the correct answer would be

The model predicts that for each year older a male student is, he is about 1.6 inches taller.

Answer 2

Option b is correct

Explanation:

Given that for a class project, students collect data about the ages of the male students (a) and their heights in inches (h). There was a positive linear relationship between a and h that is best modeled by the equation
`h=1.6a+41`.

Suppose a becomes a+1 i.e. a is increased by 1 unit

`h(a+1) = 1.6(a+1)+41`

Increase in a when a increases by 1

=
`h(a+1)-h(a) = 1.6(a+1)+41-1.61-41\\=1.6`

Hence we find that

The model predicts that for each year older a male student is, he is about 1.6 inches taller.

Option b is right answer