The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.
- <em>The linear equation of the function is: </em>
<em>, while its inverse is: </em>
<em>.</em>
- <em>The domain is from 0% to 100%, while the range is from 7 to 29.9</em>
<em />
Given that:
<u>Input and Output quantity</u>
The input quantity is the <em>percentage of frozen citrus crop</em>, while the output quantity is the <em>cost of box of oranges</em>
<u>Linear Function</u>
The given parameters can be written as:
Calculate the slope (m)
So, we have:
The equation is then calculated using:
So, we have:
So, the function is:
<u>The domain and the range</u>
The domain is the <em>possible input value (i.e. possible values of P).</em>
Because P is a percentage, its possible values are 0% to 100%.
Hence, the domain of the function is:
The range is the <em>possible output value (i.e. possible values of c).</em>
When P = 0% and 100%
Hence, the range of the function is:
<u>The meaning of </u><u />
is an inverse equation, where 12 represents the <em>cost of box of oranges.</em>
So, represents the percentage of frozen citrus crop, when the cost is $12.
<u>The inverse formula</u>
We have:
Make P the subject
Divide by 22.9
So, the inverse function is:
<em>This is used to calculate the percentage of frozen citrus crop, when the cost is known.</em>
<em />
Substitute 12 for c
Read more about linear equations at: