Final answer:
A real world problem reflected in the expression 5x + 10 can involve calculating the total cost of books plus a membership fee in a bookstore. The quadratic formula is used for solving quadratic equations, which have significant applications in various fields.
Step-by-step explanation:
An example of a real world problem represented by the expression 5x + 10 is calculating the total cost of purchasing multiple items. Imagine you are at a bookstore, and each book costs $5. There is also a one-time membership fee to join the bookstore's readers club, which is $10. If x represents the number of books you decide to purchase, then 5x would represent the total cost of the books, and when you add the $10 membership fee, the expression for calculating your total cost would be 5x + 10.
Additionally, the concept of quadratic formula is significant in mathematics as it helps in finding solutions for quadratic equations, such as t² + 10t - 2000 = 0. This equation can be solved by rearranging to have 0 on one side and then applying the quadratic formula. Understanding quadratic equations is crucial not just in theoretical math but also practical real world applications like physics or economics.