Questions and Answers
What is the inequality to represent the number of classes, c, that Natalie can take and stay within her budget?
$9c + 10.65 \leq 146$
How many days, d, must the family travel to reach a distance of at least 1,400 miles, if they drive 350 miles per day?
What is the inequality to represent the number of cans, c, that Xander must still collect to reach at least 120 cans, if he has already collected 64 items?
$c + 64 \geq 120$
What is the equation to find x, the number of boxed lunches Janie ordered, if each lunch costs $4.25 and the total cost is $53.75 including a $7 delivery fee?
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On a number line, the solution to the inequality $9c + 10.65 \leq 146$ would have a circle at:
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Study Notes
Inequalities and Equations
- Natalie's class budget can be represented by an inequality, where c is the number of classes she can take.
- The family's travel distance can be calculated by dividing the total distance (at least 1,400 miles) by the daily distance (350 miles per day), resulting in d days.
- Xander needs to collect at least 120 cans, and already has 64, so the inequality for the number of cans, c, he needs to collect is c ≥ 56.
- Janie ordered x boxed lunches at $4.25 each, with a $7 delivery fee, resulting in a total cost of $53.75, which can be represented by the equation 4.25x + 7 = 53.75.
- The inequality 9c + 10.65 ≤ 146 has a solution with a circle at the closed end on a number line.
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