Let's assume the amount of money Kris needs to earn each weekend is represented by x.
Since she has 8 weekends in total, the total amount of money she plans to earn can be calculated as 8x.
According to the problem, Kris wants to earn at least $1,625. So we can write the inequality:
8x ≥ 1625
To solve for x, divide both sides of the inequality by 8:
x ≥ 1625/8
x ≥ 203.125
Therefore, Kris needs to earn at least $203.125 each weekend to meet her goal.
The answer choice that best interprets the solution in the context of the problem is:
• Kris needs to earn at least $179.38 each weekend to meet her goal.
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)
• Kris needs $179.38 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 at least $179.38 each weekend to meet her goal.
5 answers
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)
• 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 10 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.
• 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 10 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.
Let's assume the number of push-ups Jada needs to do each day for the rest of the week is represented by x.
On Sunday, Jada did 30 push-ups. She wants to do the same number of push-ups each day for the rest of the week. Therefore, she needs to do x push-ups for the remaining days.
To find the total number of push-ups Jada will have done for the entire week, we can write the equation:
30 + 6x ≥ 100
Subtract 30 from both sides of the inequality:
6x ≥ 70
Divide both sides of the inequality by 6:
x ≥ 11.67
Since Jada needs to do whole push-ups, we round up to the nearest whole number.
Therefore, Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
The answer choice that best interprets the solution in the context of the problem is:
• Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
On Sunday, Jada did 30 push-ups. She wants to do the same number of push-ups each day for the rest of the week. Therefore, she needs to do x push-ups for the remaining days.
To find the total number of push-ups Jada will have done for the entire week, we can write the equation:
30 + 6x ≥ 100
Subtract 30 from both sides of the inequality:
6x ≥ 70
Divide both sides of the inequality by 6:
x ≥ 11.67
Since Jada needs to do whole push-ups, we round up to the nearest whole number.
Therefore, Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
The answer choice that best interprets the solution in the context of the problem is:
• Jada needs to do at least 12 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)
• James needs to earn more than $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 more than 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 at least $120 each day this week to meet his goal.
• James needs to serve more than 120 customers this week to meet his goal.
• James needs to serve at least 120 customers this week to meet his goal.
Let's interpret the solution in the context of the problem.
The inequality 5x + 400 > 1,000 represents the amount of money James earns, where x is the number of customers he serves.
Teddy found that x > 120 after solving the inequality.
This means that James needs to serve more than 120 customers this week to meet his goal of earning more than $1,000.
Therefore, the answer choice that best interprets the solution in the context of the problem is:
• James needs to serve more than 120 customers this week to meet his goal.
The inequality 5x + 400 > 1,000 represents the amount of money James earns, where x is the number of customers he serves.
Teddy found that x > 120 after solving the inequality.
This means that James needs to serve more than 120 customers this week to meet his goal of earning more than $1,000.
Therefore, the answer choice that best interprets the solution in the context of the problem is:
• James needs to serve more than 120 customers this week to meet his goal.
1 answer