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?

The table shows the number of cups of almonds for various serving sizes of chocolate almond barkCups of Almonds inChocolate Almond BarkServings 8 16 24 32 40Alm class=

Respuesta :

Frist we calculate the slope of the equation

[tex]\begin{gathered} m=\frac{1-\frac{1}{2}}{16-8} \\ =\frac{\frac{1}{2}}{8} \\ =\frac{1}{16} \end{gathered}[/tex]

Then we find the equation

[tex]\begin{gathered} a-\frac{1}{2}=\frac{1}{16}(s-8) \\ a-\frac{1}{2}=\frac{1}{16}s-\frac{8}{16} \\ a-\frac{1}{2}=\frac{1}{16}s-\frac{1}{2} \\ a=\frac{1}{16}s \\ s=16a \end{gathered}[/tex]

Therefore the answer is C.