Question

The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what year would the average reading score
be 259.378 if this model is accurate?
The average reading score would be 259.378 in (Type a whole number)

Answer 1

Average reading score is given by the expression,

        y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = $\frac{3.978}{0.153}$

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

       Therefore, 1996 is the year in which the average reading score will be 259.378.

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