Answer:
[tex]y=-52x+480[/tex]
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
[tex]y=mx+b[/tex]
The event into consideration is the number of pages of a book left to read by Shyryia.
We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substituting the given points:
[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]
[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]
Operating:
[tex]y-402=-52(x-1.5)[/tex]
[tex]\mathbf{y=-52x+480}[/tex]
Answer:
-52x+480.
Step-by-step explanation:
I took the test, definitely correct
