The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a
bag containing 100 pieces costs $3.99. Write the function that models this situation. Express your answer in y = mx + b form, using decimals. Round decimal values to the nearest hundredth.
When two values are given for a linear function, it is easier to obtain the equation using the two-point form, namely (y-y1)=m(x-x1) where m=slope=(y2-y1)/(x2-x1) and (x1,y1) and (x2,y2) are the given two points.
Here (x1,y1)=(25,0.99), and (x2,y2)=(100,3.99) Find slope, m=(y2-y1)/(x2-x1)=(3.99-0.99)/(100-25)=3/75=0.04 Find equation: (y-y1)=m(x-x1) (y-0.99)=0.04(x-25) Expand and simplify: y=0.04x-1+0.99 , simplify y=0.04x-0.01..............................Function that models the situation
