IDNLearn.com provides a seamless experience for finding accurate answers. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.


Could you guys help me and explain them please.


Directions: Define a variable and write an inequality to model each situation. You must show all work to receive full credit. (1 point for defining the variable, 1 point for a correct inequality)
Example:
A truck can tow at most 12,000 lbs.
Let t represent the amount that the truck can tow.
t ≤ 12,000

8. The restaurant can seat at most 172 people.




9. A person must be at least 35 years old to be elected president.





10. A law clerk earned more than $20,000 since being hired.



11. A local pizzeria offered a special. Two pizzas cost $14.99. A group of students spent less than $75. They purchased three pitchers of soda for $12.99. How many pizzas could the group purchase? (1 point for writing an inequality to represent this situation, 1 point for determining how many pizzas could be purchased)



Sagot :

8. The restaurant can only seat 172 people, so the equation would be s ≤ 172 ( s = amount of seating). So, s has to be less than or equal to 172.
9. The person has to be at the least 35 years old, so the equation would be p ≥ 35 (p = person running for president). So the person would have to be equal to or older than 35.
10. Okay, so the person made any number greater than $20,000, so the equation is c > $20,000 ( c = law clerk) because it has to be bigger than $20,000.
11. So the equation for how much they spent is s < $75 ( s = students). But since they spent at least $12.99, the equation for pizzas purchased would be $12.99 < p < $75 (p = pizzas) because it would have to be between $12.99 and $75.