Respuesta :
To graph an inequality, it is important to replace the inequality sign with the equal sign
The responses are as follows:
The given parameters are;
The amount available to spend = $40
The cost of admission to the movies = $14.50
The cost of the drink and popcorn bought = $7.75
The cost to play video games that is among the planned activities = $0.75
1. Required:
To write a verbal inequality model that represents the situation
Solution:
The situation can be represented as follows;
The $40 amount available to spend is equal to or larger than the cost of $14.50 for admissions to see the moves plus the cost of $7.75 for the popcorn and drink plus the cost of $0.75 for playing the video games a given number of times
2. Required:
To write an algebraic inequality model
Solution:
To write an algebraic inequality model, variables can be used to substitute each of the items as follows;
Let a represent the number movies that is seen, let b represent the numbers of drink and popcorn bought, and let c represent the number of video games played, we have;
40 ≥ a·14.50 + b·7.75 + c·0.75
3. Required:
To solve the inequality
Solution:
To solve the obtained algebraic inequality model, is to find the value of c in inequality form, which is the missing variable left as follows;
Where;
a = 1, we have;
40 ≥ 14.50 + b·7.75 + c·0.75 = 14.50 + 7.75 + c·0.75
25.5 ≥ b·7.75 + c·0.75
25.5 - b·7.75 ≥ c·0.75
34 - (31/3)·b ≥ c
The solution of the inequality is presented as follows;
c ≤ 34 - (31/3)·b
4. Required:
To draw a graph of the inequality
Solution:
The graph of the inequality is created using MS Excel, by inputting 0 in a cell and to the right of the cell input the value, '= 34 - (31/3)*' then select the cell containing '0' to the left
In the next row enter '1' in the to follow '0' in the same column, then click and drag the cell to the right to apply it to the cell having '1', repeat the process to create the graph and shade the required region as shown in the attached graph
Please find attached the required graph of the inequality
5. The number of times video games that can be played when the movie is seen once and one drink and popcorn is bought is less than or equal to 23 times
When 2 drinks and popcorn are bought then the video game can be played less than or equal 13 times
When 3 drinks and popcorn are bought the video game can be played less than or equal 3 times
Learn more about graphing inequalities here:
https://brainly.com/question/14399777
