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in 1994, 45% of students graduated from university in less than 5 years. 6 years later in the year 2000, 41% of students graduated from university in less than 5 years. write an equation relating the year of graduation to the numbers of years spent in university.

User Ged
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The relationship between the year of graduation and the percentage of students who graduate in less than 5 years appears to be linear based on the given information. From 1994 to 2000, the percentage decreased from 45% to 41%.

Given two points, (1994, 45) and (2000, 41), we can derive a linear relationship. The general formula for a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, let's calculate the slope (m). The formula to calculate the slope between two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). In this case, the two points are (1994, 45) and (2000, 41).

So, m = (41 - 45) / (2000 - 1994) = -4/6 = -2/3.

The y-intercept (b) is the value of y when x is 0. We can find it by rearranging the equation and solving for b: b = y - mx. Substituting the values from one of the points, let's use (1994, 45):

b = 45 - (-2/3 * 1994) = 45 + 2/3 * 1994 = 45 + 1328 = 1373.

So, the equation that represents the relationship between the year of graduation and the percentage of students who graduate in less than 5 years is:

y = -2/3x + 1373

Where:

- y is the percentage of students who graduate in less than 5 years,

- x is the year of graduation.

User Legatro
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