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Determine how long it will take to read a book that has 424 pages.

The time it takes to read 20 pages of a book can be represented with the equation [tex]y = \frac{12.4}{20} x[/tex], where [tex]y[/tex] represents the total time in minutes and [tex]x[/tex] represents the number of pages read.

A. 262.88 minutes
B. 683.87 minutes
C. 424.38 minutes
D. 2,012.4 minutes

Sagot :

GinnyAnswer
To determine how long it takes to read a book that has 424 pages, we start with the given equation that relates the total reading time [tex]\( y \)[/tex] in minutes to the number of pages [tex]\( x \)[/tex] read:

[tex]\[ y = \frac{12.4}{20} x \][/tex]

Here, it is given that the time it takes to read 20 pages is 12.4 minutes. This equation can be simplified to:

[tex]\[ y = \frac{12.4}{20} \cdot x \][/tex]

Now, let's find the constant rate of time per page:

[tex]\[ \frac{12.4}{20} = 0.62 \][/tex]

Thus, the simplified equation becomes:

[tex]\[ y = 0.62x \][/tex]

We need to determine the total time [tex]\( y \)[/tex] to read a book with 424 pages ([tex]\( x = 424 \)[/tex]):

[tex]\[ y = 0.62 \cdot 424 \][/tex]

By multiplying the rate of time per page by the number of pages, we get:

[tex]\[ y = 262.88 \][/tex]

Therefore, it will take approximately 262.88 minutes to read a book that has 424 pages.
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