Modeling of a situation is getting its properties held in another system, usually mathematical. The equation for given situation is [tex]C = 2T + 5[/tex]
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case the number of t-shirts brought is not known, so let we take it as T
Since each t-shirt costs $2, thus, T t-shirts will cost: T × $2
Since, cost of using the service of the t-shirt company is $5 flat rate, thus,
Total cost for purchasing T t-shirts = T × $2 + $5
Let total cost be denoted by C, then:
[tex]C = 2T + 5[/tex]
(we usually don't write multiplication sign usually, and write the quantities close to each other, denoting that they're in multiplication.)
(we usually don't write symbols like $ etc in equations. It is known from context like what type of currency is in discussion(if multiple currency, then we can do some modification to variable symbols).
Thus,
The equation for given situation is [tex]C = 2T + 5[/tex]
Table for it, using values of T from 1 to 5, we get:
[tex]\begin{array}{cc}T&C\text{(In dollars)}\\1&7\\2&9\\3&11\\4&13\\5&15\end{array}[/tex]
Plotting them in graph, we get the following attached graph.
Learn more about forming equations here;
https://brainly.com/question/12279939
