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Questions and Answers
Which represents the solution set of $5(x + 5) < 85$?
Which represents the solution set of $5(x + 5) < 85$?
x < 12
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?
- 16 miles (correct)
- 18 miles
- 20 miles
- All of the above
Which graph shows the solution set of the inequality $2.9(x + 8) < 26.1$?
Which graph shows the solution set of the inequality $2.9(x + 8) < 26.1$?
- Graph C
- Graph B
- Graph A
- Graph D (correct)
For what number of hours does Grayson charge more than Ian if $h$ represents the number of hours?
For what number of hours does Grayson charge more than Ian if $h$ represents the number of hours?
Flashcards
Solution to 5(x + 5) < 85
Solution to 5(x + 5) < 85
x is less than 12. This is the range of values for which the inequality 5(x + 5) < 85 is true.
Taxi ride affordability
Taxi ride affordability
Henri can afford to ride 16 miles in the taxi with $14.00, considering the flat fee and per-mile charge.
Solution to 2.9(x + 8) < 26.1
Solution to 2.9(x + 8) < 26.1
The solution set represents all values of x that satisfy the inequality. Solve for x to find the range.
What 'h' represents
What 'h' represents
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Study Notes
Inequalities Overview
- Solution set for the inequality 5(x + 5) < 85 simplifies to x < 12.
- Represents a linear inequality indicating all values less than 12.
Taxi Service Fare Calculation
- Taxi service has a base charge of $1.25 plus $0.75 for each mile.
- Henri has a total budget of $14.00 for taxi fare.
- To determine the maximum miles he can afford, the inequality to solve would involve the flat fee and cost per mile.
Graphing Inequalities
- The solution set of the inequality 2.9(x + 8) < 26.1 must be represented on a graph.
- Visual representation helps in understanding the range of values that satisfy the inequality (option D indicates the correct graph).
Comparison of Tax Preparation Costs
- Grayson charges $35 per hour plus a $35 administration fee.
- Ian charges $45 per hour with a $15 administration fee.
- To find when Grayson becomes more expensive than Ian, set up the inequality involving hours (h) worked and solve for h.
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