Question

The average reading score on a certain test is given by y=0.150x +255.34 where x is the number of years past 1970 . In what year would the average reading score be 259.24 if this model was accurate

Answer 1

The average was 259.24 in 1996.

Explanation:

In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:

`259.24 = 0.15*x + 255.34\\0.15*x = 259.24 - 255.34\\0.15*x =3.9\\x = (3.9)/(0.15)\\x = 26`

The average was 259.24 after 26 years, therefore it was in 1996.