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.)

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.)

yunitsiL

Skilled2021-02-10Added 108 answers

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

Where y represents grade point averages

And x represents IQ score

We need to find value of x for

On simplifying the above equation

So the next whole number is 120. Hence for IQ score that` is

Answer: For grade point average of at least 3.5 required IQ score is 120

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