Answer:
It will take her 3 hours to read 120 pages.
Step-by-step explanation:
The number of pages read(y) after x hour can be modeled by a linear function in the following format:
[tex]y = ax + b[/tex]
In which a is the number of pages read per hour and b is the initial number of pages read.
A straight line goes through (0, 0)
This means that when [tex]x = 0, y = 0[/tex]
So
[tex]y = ax + b[/tex]
[tex]0 = a*0 + b[/tex]
[tex]b = 0[/tex]
(0.5, 20)
When [tex]x = 0.5, y = 20[/tex]
So
[tex]y = ax[/tex]
[tex]20 = 0.5a[/tex]
[tex]a = \frac{20}{0.5}[/tex]
[tex]a = 40[/tex]
The function in:
[tex]y(x) = 40x[/tex]
According to the graph, which statement must be true?
It will take her 2 hours to read 60 pages.
[tex]y(2) = 40*2 = 80[/tex]
Less than 2 hours for 60 pages, so this is false.
It will take her 3 hours to read 120 pages.
[tex]y(3) = 40*3 = 120[/tex]
This statement is true.
It will take her 4 hours to read 180 pages.
[tex]y(4) = 40*4 = 160[/tex]
More than 4 hours to read 180 pages. So false.
It will take her 5 hours to read 210 pages.
[tex]y(5) = 40*5 = 200[/tex]
More than 5 hours to read 210 pages. So false.
Answer: it is B
It will take her 3 hours and 120 pages
Step-by-step explanation:
Correct on edge
