Suman Cole

2021-02-09

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.)

### Answer & Explanation

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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
We need to find value of x for $y=3.5$ So substituting $y=3.5$ in equation (1), we get $3.5=0.069x-4.755$
On simplifying the above equation
$0.069x=3.5+4.755$
$0.069x=8.255$
$x=\frac{8.255}{0.069}$
$x=119.63$
So the next whole number is 120. Hence for IQ score that` is $x=120$, the grade point average will be at least 3.5.
Answer: For grade point average of at least 3.5 required IQ score is 120

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