The equation that represents the relationship between the number of days and the number of pages Lila reads is y = 42x
If Lila read 84 pages in 2 days and 210 pages in 5 days, the number of pages "y" and the number of days "x" can be express in coordinate form as shown:
(2, 84) and (5, 210)
To get the required equation, we will find the equation of the line passing through the coordinate points as shown:
y = mx + b
m is the slope
b is the y-intercept;
Get the slope
[tex]m =\frac{210-84}{5-2}\\m=\frac{126}{3}\\m=42\\[/tex]
Get the y-intercept:
84 = 42(2) + b
84 = 84 + b
b =0
Get the required equation:
Recall that y = mx+ b
y = 42x + 0
y = 42x
Hence the equation that represents the relationship between the number of days and the number of pages Lila reads is y = 42x
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