[tex]k =1.89[/tex] is the constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x .
Step-by-step explanation:
Here we have , The cost of 2 pounds of potatoes is $3.78. We need to find the constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x . Let's find out:
Cost is y & number of pounds of potatoes is x :
[tex]y = (k)x[/tex] , where k is constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x .
⇒ [tex]y = (k)x[/tex]
⇒ [tex]3.78 = (k)2[/tex]
⇒ [tex]\frac{3.78}{2} = \frac{(k)2}{2}[/tex]
⇒ [tex]\frac{3.78}{2} =k[/tex]
⇒ [tex]k =1.89[/tex]
Therefore, [tex]k =1.89[/tex] is the constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x .
