Question

The Baltimore Zoo feeds their elephants a combination of fruit and grass. The zookeeper would like to create a model to represent how much food the elephants eat. Each morning, the zookeeper puts out 22 pounds of fruity and an additional 30 pounds of grass per elephant.
Which of the following models the linear relationship between the total weight of elephant food, f(x), based on the number of elephants, x? Select all that apply.

Answer 1

A function can be represented on a table and on a graph.

The models of the linear relationship between f(x) and x are:

$\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}$

The given parameters are:

$\mathbf{Start = 22}$

$\mathbf{Additional = 30}$

So, the function that models the linear relationship is:

$\mathbf{f(x) = Start + Additional \times x}$

Substitute known values

$\mathbf{f(x) = 22 + 30 \times x}$

Evaluate all products

$\mathbf{f(x) = 22 + 30x}$

Rewrite as:

$\mathbf{f(x) = 30x + 22}$

By comparing the above function to the list of options, we have the true options to be:

$\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}$

Read more about linear functions at:

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