6th Hour Warm UP Flashcard #28

Front

What is the total cost formula for Carnival M if the entrance fee is $5 and each ticket costs $0.65?

Back

Total Cost = 5 + 0.65x, where x is the number of tickets.

Front

What is the total cost formula for Carnival P if the entrance fee is $10 and each ticket costs $0.45?

Back

Total Cost = 10 + 0.45x, where x is the number of tickets.

Front

How do you set up an equation to find when two total costs are equal?

Back

Set the total cost formulas equal to each other: 5 + 0.65x = 10 + 0.45x.

Front

What is the solution to the equation 5 + 0.65x = 10 + 0.45x?

Back

x = 25 tickets.

Front

What is the inequality to compare the total costs of Company P and Company R for trophies?

Back

3.5x + 25 < 7.5x + 17.

Front

What does the variable x represent in the inequality 3.5x + 25 < 7.5x + 17?

Back

x represents the minimum number of trophies ordered.

Front

What is the first step to solve the inequality 3.5x + 25 < 7.5x + 17?

Back

Subtract 3.5x from both sides: 25 < 4x + 17.

Front

What is the next step after simplifying 25 < 4x + 17?

Back

Subtract 17 from both sides: 8 < 4x.

Front

How do you isolate x in the inequality 8 < 4x?

Back

Divide both sides by 4: 2 < x or x > 2.

Front

What does the equation 18x = 19 + 12x represent in a real-world context?

Back

It represents a situation where two people are reading at different rates and you want to find when they will have read the same number of pages.