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
Ratios are fractions. Equivalent means equal, if you change one set of numbers, you have to change the second set of numbers so then that Ratio or Equivalent fraction stays equal on both sides.
