Question

for her marine biology conference, jasmine uses a 3 - d printer to make plastic models of small fish she studies. the table shows the lengths of the actual fish compared to the lengths of plastic models. one fish is 1.8 millimeters long. find the length of the plastic model that depicts this fish.
step 1: make an estimate.
the model structure should be feet long.
reset step
table

actual length (mm) x	model length (ft) y
0.8	4.4
1.2	6.6
1.8

Explanation:

Step1: Find the constant of proportionality

Let the constant of proportionality be $k$. From the table, when $x = 0.4$ and $y=2.2$, $k=\frac{y}{x}=\frac{2.2}{0.4} = 5.5$.

Step2: Calculate the model length for $x = 1.8$

We know that $y=k\times x$. Substituting $k = 5.5$ and $x = 1.8$ into the equation, we get $y=5.5\times1.8=9.9$.

Answer:

9.9