11. CRITIQUE REASONING Vivek’s teacher made the statement, “Four times a number is less than three times a number.” Vivek quickly responded that the answer is no solution. a. Do you agree with Vivek? Write and solve an inequality to justify your answer. b. What mistake did Vivek make?
11. CRITIQUE REASONING
Vivek’s teacher made the statement, “Four times a number
is less than three times a number.” Vivek quickly responded that the answer is no
solution.
a. Do you agree with Vivek? Write and solve an inequality to justify your answer.
b. What mistake did Vivek make?
12. USE A MODEL
The table shows two ways the manager of a car
dealership can pay the members of her sales force each month.
Table:
Plan A $1800 plus 2% of sales
Plan B $300 plus 4% of sales
Write an inequality that can be used to determine for what amount of sales s
Plan A produces the greater pay. Then solve the inequality and interpret
the solution.
13. EVALUATE REASONABLENESS
Students who correctly answer at least 90% of the
63 questions on a placement test will be allowed to take Honors Spanish next year.
Write, solve, and interpret an inequality describing what numbers of correct answers
will qualify students to take Honors Spanish.
14. PLAN A SOLUTION
A food company is making a new nutritional breakfast bar. The
bar is to have at most 20% of its calories from fat, and also less than 4 grams of total
fat. If a gram of fat is about 9 calories, how many calories could the whole bar have?
Justify your answer.
15. INTERPRET PROBLEMS
A pizza party is being planned for the last day of class and
the teacher wants to know if ordering eight pizzas will be enough.
a. If each student in the class will eat at most 3 pieces of pizza and the teacher will
eat 3, write an inequality for the number of pieces of pizza p that will need to be
ordered based on the number of students s.
b. If each pizza has 8 pieces and the class has 21 students, do you think ordering 8 pizzas be enough for the party? Explain your reasoning.
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