Question

at a store fudge is sold based on weight and pounds the table below shows the cost of fudge based on weight, which equation will calculate the cost of X pounds of fudge?

Answer 1

The cost of x pounds of fudge can be a linear equation, because it increases in a constant rate of change, so linear equations are given by the expression:

y=mx+b

where m=slope, so to find the equation, first we have to calculate the slope with two points given in this case:

(1/4, 1.49)=(0.25, 1.49)

(1/2, 2.98)=(0.5, 2.98)

The slope is given by the expression:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(2.98-1.49)/(0.5-0.25)=(1.49)/(0.25) \end{gathered}`

And to find the equation, we can use the slope-point form, that is given by the formula:

*We can use any of the two points

`\begin{gathered} y-y_0=m(x-x_0) \\ y-2.98=(1.49)/(0.25)(x-0.5) \\ y=(1.49)/(0.25)x-(149)/(50)+2.98 \\ y=(1.49)/(0.25)x \end{gathered}`