The viable solutions are:
- The total cost for 2 people to attend the play is $20. (plug in x=2, y=20, the equation holds)
- The total cost for 10 people to attend the play is $52. (plug in x=10, y=52, the equation holds)
The linear contraint y = 4x + 12 represents the cost of attending a play at which tickets costs $4 per person, and there is a $12 fee for parking.
Which of the following solutions are viable that relate the tickets purchased and the total cost for attending the play. Select the Two answers
The total cost for 5 people to attend the play is $32.
The total cost for 6 people to attend the play is $24.
The total cost for 2 people to attend the play is $20.
The total cost for 10 people to attend the play is $52.
The total cost for 15 people to attend the play is $100.
5 answers
Lukas is running a lemonade stand on a hot summer day. He spent $14 for the materials and earns $1.50 for each cup of lemonade sold.
What is an equation that relates the number of cups of lemonade sold, c, and the profit earned, P, and explain whether Lukas selling 20 cups for a profit of $16 is a viable solution
What is an equation that relates the number of cups of lemonade sold, c, and the profit earned, P, and explain whether Lukas selling 20 cups for a profit of $16 is a viable solution
The equation that relates the number of cups of lemonade sold, c, and the profit earned, P, is:
P = 1.5c - 14
This equation represents the profit as the revenue earned from selling c cups, which is 1.5c, minus the cost of the materials, which is $14.
To check whether Lukas selling 20 cups for a profit of $16 is a viable solution, we can plug in c=20 and P=16 into the equation and see if it holds:
P = 1.5c - 14
16 = 1.5(20) - 14
16 = 30 - 14
16 = 16
The equation holds, which means that it is a viable solution. Lukas could have made a profit of $16 by selling 20 cups of lemonade, given the cost of materials and the price he charged per cup.
P = 1.5c - 14
This equation represents the profit as the revenue earned from selling c cups, which is 1.5c, minus the cost of the materials, which is $14.
To check whether Lukas selling 20 cups for a profit of $16 is a viable solution, we can plug in c=20 and P=16 into the equation and see if it holds:
P = 1.5c - 14
16 = 1.5(20) - 14
16 = 30 - 14
16 = 16
The equation holds, which means that it is a viable solution. Lukas could have made a profit of $16 by selling 20 cups of lemonade, given the cost of materials and the price he charged per cup.
What is the equation of the function shown in the graph provided?
I'm sorry, as an AI language model, I don't have the ability to see or access any graph. Please provide the graph or any other details related to the equation of the function that you are referring to.