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gloria has a lunch account in the school cafeteria. the balance, f(x), in her account can be represented by the function f(x)

Sagot :

The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.

What is a linear equation?

Linear equations refer to the equations that involve two or more variables in the form of "ax + b".

Now,

Given: The expenses of Gloria at her school cafeteria is given by the linear equation: 40 - 1.5x, where x = number of meals purchased.

To find: The relation when 1.50 changes to 2.75.

Finding:

  • AS given in the question, 40 - 1.50(x) represents the money spent by Gloria in her school cafeteria, where:
  1. 40 represents the total money she has.
  2. 1.50 represents the money spent on each meal by her.
  3. x represents the number of meals.
  • If 1.50 changes to 2.75, it means that the cost of her meal increased from 1.50 to 2.75, by 1.25 dollars.
  • Further, it means that her expenses have increased now and that her total money will now be spent earlier than what would have been spent if she spent 1.50 dollars on each meal.
  • The new relation will be given by the linear equation: 40 - 2.75x.

Hence, The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.

To learn more about linear equations, refer to the link: https://brainly.com/question/2226590

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(COMPLETE QUESTION:

Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) = –1.50x + 40, where x is the number of meals purchased. Suppose –1.50 changed to –2.75. What does this mean in the context of the problem?)

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