Question

The table shows the volume of water in a tank after it has been filled to a certain height.

Answer 1

Functions and tables can be used to model real world situations.

The equation that represents volume is: $\mathbf{V(h) = 1.05(h)^3}$

From the table, we have:

$\mathbf{h \to V}$

$\mathbf{0 \to 0}$

$\mathbf{1 \to 1.05}$

$\mathbf{2 \to 8.40}$

$\mathbf{3 \to 28.35}$

The table can be rewritten as:

$\mathbf{h \to V}$

$\mathbf{0 \to 1.05 \times 0^3}$

$\mathbf{1 \to 1.05 \times 1^3}$

$\mathbf{2 \to 1.05 \times 2^3}$

$\mathbf{3 \to 1.05 \times 3^3}$

Replace 0, 1, 2 and 3 with h

$\mathbf{h \to 1.05 \times h^3}$

The above expression means that:

$\mathbf{V(h) = 1.05 \times h^3}$

Rewrite as:

$\mathbf{V(h) = 1.05(h)^3}$

Hence, the equation that represents volume is: $\mathbf{V(h) = 1.05(h)^3}$

Read more about equations and tables at:

brainly.com/question/19221147