  The admissions office of a college wants to determine whether there is a relationship between IQ scores x and grade-point averages y after the first year of school. An equation that models the data obtained by the admissions office isy = 0.069x − 4.755.Estimate the values of x that predict a grade-point average of at least 3.5. (Simplify your answer completely. Round your answer to the nearest whole number.)

Question

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

y = 0.069x − 4.755.

Estimate the values of x that predict a grade-point average of at least 3.5. (Simplify your answer completely. Round your answer to the nearest whole number.)

Step 1

The given equation modeling the relationship between IQ score and grade point averages is as follows

y = 0.069x − 4.755               …(1)

Where y represents grade point averages

And x represents IQ score

Step 2

We need to find value of x for y = 3.5. So substituting y = 3.5 in equation (1), we get

3.5 = 0.069x − 4.755

Step 3

On simplifying the above equation

0.069x = 3.5 + 4.755

0.069x = 8.255

x = 8.255/0.069

x = 119.63

So the next whole numbe...

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Equations and In-equations 