The average score on a national assessment test for a subject was 194 points for fourth-graders who studied the subject about 45 minutes per week. the average score was 211 points for fourth-graders who studied the subject about 150 minutes per week. there is an approximate linear relationship between the number of hours fourth-graders study the subject per week and the average score on the test. estimate the average score for fourth-graders who study the subject about 235 minutes per week.

The average score for fourth-graders who study the subject about 235 minutes per week is 224.76.

Step-by-step explanation:

Let x be the number of hours fourth-graders study the subject per week and y be the average score on the test. It is given that there is an approximate linear relationship between x and y.

It is given that the average score on a national assessment test for a subject was 194 points for fourth-graders who studied the subject about 45 minutes per week. It means the line passes through (45, 194).

The average score was 211 points for fourth-graders who studied the subject about 150 minutes per week. It means the line passes through (150, 211).

If a line passes through two points then the equation of line is

The equation of required line is

Using distributive property,

Add 194 on both sides.

Substitute x=235 in the above equation.

Therefore the average score for fourth-graders who study the subject about 235 minutes per week is 224.76.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

853.3

step-by-step explanation: