Solutions to Real-World Inequality Problems Quick Check
3 of 5 3 of 5 Items
Question
Kris currently has $190 and plans to earn more money each of the 8 weekends this summer. She wants at least $1,625 by the end of the summer. Write and solve an inequality for the amount of money Kris needs to earn each weekend. Which answer choice best interprets the solution in the context of the problem?(1 point)
Responses
Kris needs to earn at least $179.38 each weekend to meet her goal.
Kris needs to earn at least $179.38 each weekend to meet her goal.
Kris needs to earn $105 more to meet her goal.
Kris needs to earn $105 more to meet her goal.
Kris needs to earn $13.13 each hour to meet her goal.
Kris needs to earn $13.13 each hour to meet her goal.
Kris needs $179.38 more to meet her goal.
The correct inequality and interpretation are:
Kris needs to earn at least $179.38 each weekend to meet her goal.
Solutions to Real-World Inequality Problems Quick Check
4 of 5 4 of 5 Items
Question
Jada has challenged herself to do at least 100 full push-ups this week. On Sunday, she does 30 push-ups. Her arms are sore, so she decides to do fewer push-ups on the remaining days of the week. She wants to do the same number of push-ups each day for the rest of the week. Write and solve an inequality for the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups. Which answer choice best interprets the solution in the context of the problem?(1 point)
Responses
Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 14 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 14 push-ups each day for the rest of the week to meet her goal.
Jada needs to do push-ups for at least 12 more days to meet her goal.
The correct inequality and interpretation are:
Jada needs to do at least 14 push-ups each day for the rest of the week to meet her goal.
Teddy is solving the following problem: James earns $400 a week plus $5 in tips for each customer he serves. He is hoping to earn more than $1,000 this week. How many customers would he have to serve to meet his goal? Describe the solutions. Teddy writes the inequality 5x+400>1,000 , where x is the number of customers James serves. Teddy solves the inequality and finds that x>120 . How should Teddy interpret this solution in the context of the problem?(1 point)
Responses
James needs to earn at least $120 each day this week to meet his goal.
James needs to earn at least $120 each day this week to meet his goal.
James needs to serve at least 120 customers this week to meet his goal.
James needs to serve at least 120 customers this week to meet his goal.
James needs to earn more than $120 each day this week to meet his goal.
James needs to earn more than $120 each day this week to meet his goal.
James needs to serve more than 120 customers this week to meet his goal.
The correct interpretation is:
James needs to serve at least 120 customers this week to meet his goal.