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Lila read 84 pages in 2 days and 210 pages in 5 days. The relationship between the number of days, x, and the number of pages, y, is
proportional
Move expressions to the lines to create an equation that represents the relationship between the number of days and the number of pages
Lila reads.
+42
y +42
x + 126
+ 126
42x
42y
126.x
126y


Sagot :

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

Learn more here: https://brainly.com/question/17003809

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