a bakery sells 5800 muffins in 2010 the bakery sells 7420 muffins in 2015 write a linear model that represents the number y of muffins that the bakery sells X years after 2010

Respuesta :

y= number of muffins

x= years passed

2015-2010 = 5 years (y2)

point 1 (x1,y1) = (0,5800)

Point 2 (x2,y2)= (5,7420)

Apply the slope formula (m):

[tex]m=\text{ }\frac{y2-y1}{x2-x1}[/tex]

Replace:

[tex]m=\frac{7420-5800}{5-0}=\frac{1620}{5}=324[/tex]

Slope= 324

Slope intercept form:

y=mx+b

Where:

m: slope

b= y-intercept

y-intercept is the point where the function crosses the y-axis (0,5800)

b=5800

Final expression:

y= 324x+5800