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3 years ago

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

Mathematics

1 answer:

Lilit [14]3 years ago

5 0

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

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7nadin3 [17]

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Now this is a nice form to have because you can get the vertex straight from this form.. IN FACT this is called vertex form or (h,k) form for short. In general the form is f(x) = a(x - h)² + k don't worry about the 'a' for now.. you might see that in our case it is just 1 and will not effect our equation. You only have to consider this if the original leading coefficient of the quadratic is not 1 to begin with...

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melisa1 [442]

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kodGreya [7K]

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Duval County Landscaping uses two different sized trucks to deliver mulch. The first truck can transport x cubic yards of mulch,

Gre4nikov [31]

For this case, the first thing we must do is define variables.
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y: number of cubic yards of mulch that second truck can transport
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$12x
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