Question

Ana's statistics skills have been improving during her senior year at Fletcher High School. On her first end-of-the-week assessment she scored 57 points, then she scored 61 and 65 on her next two assessments. If her scores continued to increase at the same rate, what will be her score on the 9th assessment?

Answer 1

The answer is: "89" .
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57, 61, 65, 69, 73, 77, 81, 85, 89.
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Pattern: Each score increases by 4 points; find the value of the score on the 95th assessment—which is: "89" .
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Answer 2

This a linear equation because each test score is a constant 4 greater than the previous score. So the slope of the line is 4.

y=4x+b and using any point we can find b, I'll use (3,65)

65=4(3)+b

65=12+b

b=53 so

y=4x+53 so on her 9th test...

y(9)=4(9)+53

y(9)=89