Sign In
Ask Question
Milo Montgomery
Mathematics
26 October, 00:44
Inequality in real world.
+5
Answers (
1
)
Titus Beck
26 October, 01:09
0
Solving real-world problems that involve inequalities is very much like solving problems that involve equations.
Example 1
In order to get a bonus this month, Leon must sell at least 120 newspaper subscriptions. He sold 85 subscriptions in the first three weeks of the month. How many subscriptions must Leon sell in the last week of the month?
Solution
Let x = the number of subscriptions Leon sells in the last week of the month. The total number of subscriptions for the month must be greater than 120, so we write:
85 + x ≥ 120.
We solve the inequality by subtracting 85 from both sides: x ≥ 35.
Leon must sell 35 or more subscriptions in the last week to get his bonus.
Check
To check the answer, we see that 85 + 35 = 120. If he sells 35 or more subscriptions, the total number of subscriptions he sells that month will be 120 or more. The answer checks out.
Example 2
Virenas Scout troop is trying to raise at least $650 this spring. How many boxes of cookies must they sell at $4.50 per box in order to reach their goal?
Solution
Let x = number of boxes sold. Then the inequality describing this problem is 4.50 ≥ 650.
We solve the inequality by dividing both sides by 4.50: x ≥ 144.44.
We round up the answer to 145 since only whole boxes can be sold.
Virenas troop must sell at least 145 boxes.
Check
If we multiply 145 by $4.50 we obtain $652.50, so if Virenas troop sells more than 145 boxes they will raise more than $650. But if they sell 144 boxes, they will only raise $648,
which is not enough. So they must indeed sell at least 145 boxes. The answer checks out.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Inequality in real world. ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
Zac bought a board game that includes 30 blue game pieces and 40 green game pieces what is the ratio of blue game pieces to green game pieces?
Answers (1)
Easy way to explain adding and subtracting negative numbers
Answers (1)
How many #5 cans of potato salad are required to serve 210 people if each can has 3 pounds 8 ounces of potato salad and each serving is 5 ounces
Answers (1)
A farmer examines a sample of 25 cartons of eggs and finds that 3 contains cracked eggs. What is the best prediction of the number of cartons with cracked eggs in a delivery of 500 cartons? A) 6 B) 12 C) 60 D) 120
Answers (1)
The diameter is the longest chord that can be drawn in a circle. True False
Answers (1)
New Questions in Mathematics
A cab company charges a 3.50 boarding fee and 0.50 per mile. write it as a linear equation
Answers (2)
5 and 705/1000 in simplest form
Answers (1)
Which of the following is the function of FX if F^-1 (x) = * / 8 + 3
Answers (1)
What numbers add up to-15 but when multiplied gives me-54
Answers (1)
Andrea purchased 10 packs of trading cards online and received a 20% discount of each pack shipping cost 3.99 write an algebraic expression to represent the total cost of the trading cards with the shipping cost
Answers (1)
Home
»
Mathematics
» Inequality in real world.
Sign In
Sign Up
Forgot Password?