Question

this graph shows how the amount of icing that aaron has left is related to the number of cakes that he decorates.
if aaron decorates 50 cakes, how much icing will he have left?
□ cartons

Explanation:

Step1: Define linear equation form

Let $x$ = number of cakes, $y$ = icing left. Use $y=mx+b$.

Step2: Find intercepts from graph

When $x=0$, $y=80$, so $b=80$. When $x=100$, $y=40$.

Step3: Calculate slope $m$

$m=\frac{40-80}{100-0}=\frac{-40}{100}=-0.4$

Step4: Write full equation

$y=-0.4x+80$

Step5: Substitute $x=50$

$y=-0.4(50)+80=-20+80$

Answer:

60 cartons