Consider the equation 6x+3y=9. Which equation, when graphed with the given equation, will form a system with infinitely many solutions? y+2x=3 y+2x=9 y=2x+3 or y=-2x+9

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• In 2004, the magazine had a circulation of approximately 1 million readers, which increased to about 2 million by 2014. To create a linear model representing the magazine's readership, \( r \), \( t \) years after 2000, follow these steps: 1. Calculate the annual rate of change in the number of readers (the slope). 2. Consider the year 2000 as the starting point (\( t = 0 \)) and use the provided readership data for subsequent years to find the slope. Between 2004 and 2014, a period of 10 years, readership rose by 1 million. Calculate the slope (\( m \)) by dividing the increase in readership by the time elapsed: \( m = \frac{\text{change in readership}}{\text{change in time}} = \frac{2,000,000 - 1,000,000}{2014 - 2004} = \frac{1,000,000}{10} = 100,000 \) This slope signifies a yearly increase of 100,000 readers. 3. Find the \( y \)-intercept (\( b \)), which is the 2000 readership number (\( t = 0 \)). In 2004 (\( t = 4 \)), there were 1 million readers. Using the slope and the year, determine \( b \): \( 1,000,000 = 100,000 \times 4 + b \) \( 1,000,000 = 400,000 + b \) \( b = 1,000,000 - 400,000 \) \( b = 600,000 \) With the slope and \( y \)-intercept known, the linear model is: \( r = 100,000t + 600,000 \) Here, \( r \) is the number of readers, and \( t \) the years since 2000.
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