Question

The table shows the number of cups of almonds for various serving sizes of chocolate almond bark.Cups of Almonds inChocolate Almond BarkServings 8 16 24 32 40Almond1(cups)13 2 2Which equation represents the relationship between the number of cups of almonds and the number of servings of chocolate almond bark, where a represents thenumber of cups of almonds and s represents the number of servings of chocolate almond bark?

Answer 1

Frist we calculate the slope of the equation

`\begin{gathered} m=(1-(1)/(2))/(16-8) \\ =((1)/(2))/(8) \\ =(1)/(16) \end{gathered}`

Then we find the equation

`\begin{gathered} a-(1)/(2)=(1)/(16)(s-8) \\ a-(1)/(2)=(1)/(16)s-(8)/(16) \\ a-(1)/(2)=(1)/(16)s-(1)/(2) \\ a=(1)/(16)s \\ s=16a \end{gathered}`

Therefore the answer is C.