Answer:
y = 4,200 + 280x
Step-by-step explanation:
Number of cookies sold by the bakery in 2010 = 4,200
Number of cookies sold by the bakery in 2015 = 5,600
Let's write a linear model that represents the number y of cookies that the bakery sells x years after 2010.
Cookies = y
Years after 2010 = x
Ratio of cookies sold in 2015 = (Number of cookies sold by the bakery in 2015 - Number of cookies sold by the bakery in 2010)/ 2015 - 2010
Replacing with the values we know:
Ratio of additional cookies sold = 5,600 - 4,200/ 2015 - 2010
Ratio of additional cookies sold = 1,400/ 5 = 280 per year
Now, we can write the linear model this way:
y = 4,200 + 280x
[tex]y = 4200 + 280 x[/tex]
The linear model represents the relation between two quantities which change at a constant rate.
According to given question-
The bakery sells cookies in [tex]2010[/tex] is [tex]4200[/tex]
The bakery sells cookies in [tex]2015[/tex] is [tex]5600[/tex]
As its saying about linear model representation so, assume that the number of cookies increases with the same amount each year i.e.,
[tex]5600 - 4200 = 1400[/tex] increase in [tex]5[/tex] years.
So, Increase in sell of cookies per year is [tex]\dfrac{1400}{5} = 280[/tex] increase per year
Let [tex]y[/tex] be the number of cookies that the bakery sells [tex]x[/tex] years after 2010.
So, the linear model that represents the number [tex]y[/tex] of cookies that the bakery sells [tex]x[/tex] years after 2010 is given as-
[tex]y = 4200 + 280 x[/tex]
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