Functions and tables can be used to model real world situations.
The equation that represents volume is: [tex]\mathbf{V(h) = 1.05(h)^3}[/tex]
From the table, we have:
[tex]\mathbf{h \to V}[/tex]
[tex]\mathbf{0 \to 0}[/tex]
[tex]\mathbf{1 \to 1.05}[/tex]
[tex]\mathbf{2 \to 8.40}[/tex]
[tex]\mathbf{3 \to 28.35}[/tex]
The table can be rewritten as:
[tex]\mathbf{h \to V}[/tex]
[tex]\mathbf{0 \to 1.05 \times 0^3}[/tex]
[tex]\mathbf{1 \to 1.05 \times 1^3}[/tex]
[tex]\mathbf{2 \to 1.05 \times 2^3}[/tex]
[tex]\mathbf{3 \to 1.05 \times 3^3}[/tex]
Replace 0, 1, 2 and 3 with h
[tex]\mathbf{h \to 1.05 \times h^3}[/tex]
The above expression means that:
[tex]\mathbf{V(h) = 1.05 \times h^3}[/tex]
Rewrite as:
[tex]\mathbf{V(h) = 1.05(h)^3}[/tex]
Hence, the equation that represents volume is: [tex]\mathbf{V(h) = 1.05(h)^3}[/tex]
Read more about equations and tables at:
https://brainly.com/question/19221147
