Question

PLEASE HELP ASAP Which equation BEST models the data shown in the scatterplot below?

Answer 1

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

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{250-50}{50-5}$

$m=\frac{200}{45}=4.4$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=4.4\\point\ (5,50)$

substitute

$50=4.4(5)+b$

solve for b

$b=50-22\\b=28$

substitute

$y=4.4x+28$

therefore

The equation that BEST models the data is

$y=4x+35$