The newspaper that charges less per line is Greenville Journal and the line of the advertisement must be 5 for the cost to be the same
How to determine the newspaper that charges less per line?
We have:
Greenville Journal is represented by the equation
y = 2x + 20
For Daily times, the rate is
Rate = y2 - y1/x2 - x1
This gives
Rate = (30 - 27)/(5 - 4)
Evaluate
Rate = 3
For Greenville Journal's equation y = 2x + 20, the rate is
Rate = 2
This is so because the slope is 2
By comparison 2 is less than 3
Hence, the newspaper that charges less per line is Greenville Journal
When they cost the same
The equation of Daily times is
y = m(x - x1) + y1
So, we have
y = 3(x - 4) + 27
Evaluate
y = 3x + 15
Substitute y = 3x + 15 in y = 2x + 20
3x + 15 = 2x + 20
Evaluate
x = 5
Hence, the line of the advertisement must be 5 for the cost to be the same
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