SOLUTION: Two pounds of candy cost $6.50, five pounds of candy cost $16.25, and eight pounds of candy cost $26.00. The relationship between pounds of candy and cost is proportional. Find th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two pounds of candy cost $6.50, five pounds of candy cost $16.25, and eight pounds of candy cost $26.00. The relationship between pounds of candy and cost is proportional. Find th      Log On


   

Question 1173965: Two pounds of candy cost $6.50, five pounds of candy cost $16.25, and eight pounds of candy cost $26.00.
The relationship between pounds of candy and cost is proportional. Find the constant rate of change.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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This assignment assumes that you calculate three ratios


    6.50%2F2,   16.25%2F5   and   26%2F8


to ensure that they all are equal to  3.25,  which is the price per pound.


This ratio is the proportionality coefficient, so now you can write  the proportionality relation


    C(x) = 3.25*x


between the mass of candies in pounds and the cost.