Question

# Answer the question: What is modeling with linear equations?

Modeling data distributions
What is modeling with linear equations?

2021-08-16

Step 1
Modeling with linear equations defines as if data can be used to construct linear functions that model real-world applications. Once a linear equation satisfied the given data so, we can use the equation to make certain predictions.
In the modeling, we can predict the future values.
Step 2
Example :
The cost of daily foods is $35.00, plus an additional$0.25 for every transportion. Write a function that gives the cost of the daily foods and use it to determine the total cost of food for a day and transport it 50 miles.
Cost function is
$$\displaystyle{C}{\left({x}\right)}={0.25}{x}+{35}$$
This is a linear function.
Cost when transport$$\displaystyle{x}={50}$$ miles
$$\displaystyle{C}{\left({50}\right)}={0.25}{\left({50}\right)}+{35}$$
$$\displaystyle{C}{\left({50}\right)}={12.5}+{35}$$
$$C(50)=47.5$$