Answer:
Option D. y=4x+35
Step-by-step explanation:
From the graph take the points (5,50) and (50,250)
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{250-50}{50-5}[/tex]
[tex]m=\frac{200}{45}=4.4[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=4.4\\point\ (5,50)[/tex]
substitute
[tex]50=4.4(5)+b[/tex]
solve for b
[tex]b=50-22\\b=28[/tex]
substitute
[tex]y=4.4x+28[/tex]
therefore
The equation that BEST models the data is
[tex]y=4x+35[/tex]
