The rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car.
<h3>
Interpretation of a linear function</h3>
Let be
and
the production cost and the number of vehicles produced, it there is a <em>linear</em> relationship between the two variables, then we have the following formula:
(1)
Where:
- Fixed production costs.
- Variable production cost rate.
In a nutshell, the rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car.
To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/8223651
Answer:
![\large\boxed{5\dfrac{1}{5}\ decimeters=52\ centimeters}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B5%5Cdfrac%7B1%7D%7B5%7D%5C%20decimeters%3D52%5C%20centimeters%7D)
Step-by-step explanation:
![1\ dm=10\ cm\qquad\text{(1 decimeters = 10 centimeters)}\\\\\text{Therefore}\\\\5\dfrac{1}{5}\ dm=\dfrac{5\cdot5+1}{5}\ dm=\dfrac{26}{5}\ dm=\dfrac{26}{5}\cdot10\ cm=\dfrac{260}{5}\ cm=52\ cm](https://tex.z-dn.net/?f=1%5C%20dm%3D10%5C%20cm%5Cqquad%5Ctext%7B%281%20decimeters%20%3D%2010%20centimeters%29%7D%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%5C%5C%5C5%5Cdfrac%7B1%7D%7B5%7D%5C%20dm%3D%5Cdfrac%7B5%5Ccdot5%2B1%7D%7B5%7D%5C%20dm%3D%5Cdfrac%7B26%7D%7B5%7D%5C%20dm%3D%5Cdfrac%7B26%7D%7B5%7D%5Ccdot10%5C%20cm%3D%5Cdfrac%7B260%7D%7B5%7D%5C%20cm%3D52%5C%20cm)
Answer: 2y = 3x
Reason:
The equation x:y = 2:3 is the same as saying x/y = 2/3
Cross multiply to get 3x = 2y which flips to 2y = 3x