High School

The admissions office of a college wants to determine whether there is a relationship between IQ scores and grade-point averages \(y\) after the first year of school. An equation that models the data obtained by the admissions office is:

\[ y = 0.063x - 4.759 \]

Estimate the values of \(x\) that predict a grade-point average of at least 3.0. Simplify your answer completely. Round your answer to the nearest whole number.

Answer :

We estimate that an IQ score of at least 123 is needed to predict a grade-point average of at least 3.0.

In this question, we are given an equation that models the relationship between IQ scores (x) and the grade-point averages (y) after the first year of school. The equation is y = 0.063x - 4.759. We need to estimate the values of x that predict a grade-point average of at least 3.0.

To do this, we can set up the equation y = 3.0 and solve for x.

3.0 = 0.063x - 4.759

7.759 = 0.063x

x = 123

Therefore, we estimate that an IQ score of at least 123 is needed to predict a grade-point average of at least 3.0.

In conclusion, we estimate that an IQ score of at least 123 is needed to predict a grade-point average of at least 3.0.

To learn more about grade-point average visit:

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