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**Comparing the two experiments, will there ever be more mold on the muffin than on the bread? Explain in at least 4 sentences how you came to your conclusion using our key understanding from today's class.

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Experiment ONE:

We can model the equation linearly. The linear form is:


y=mx+b

Where

m is the slope (or, rate)

b is the y-intercept (or, initial value)

Given, the initial value is "50", we can say b = 50.

The mold triples with each observation. So, the rate (m) is 3.

Thus, the equation to model this situation is:


y=3x+50

Experiment TWO:

We can also model this situation linearly.

This situation is an easier one. The number of molds increase by 8 with each observation. So, the rate (m) is "8".

The initial value (b) is "12".

So, we can model the equation:


y=8x+12

To find out if mold on muffin will ever be greater than mold on bread, we can write:


8x+12>3x+50

Let's solve for x:


\begin{gathered} 8x+12>3x+50 \\ 8x-3x>50-12 \\ 5x>38 \\ x>(38)/(5) \\ x>7(3)/(5) \end{gathered}

So, from 8 observation onwards, the amount of mold on the muffin will be greater than the amount of mold on the bread.

User Imran Arshad
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