Question
It costs $2.00 to enter the county fair. The Yodeling Pickle ‘s stand charges $2.50 per minute to listen to the amazing sound. You cannot spend more than $17.00 to enter the fair and listen to the Pickle. So how long can you listen to it yodel?
variable
inequality
inverse operation steps - will require multiple steps!
solution with inequality symbol
open or closed circle, arrow pointing left or right
variable
inequality
inverse operation steps - will require multiple steps!
solution with inequality symbol
open or closed circle, arrow pointing left or right
Answers
Answer
solution with the inequality symbol
Answer
inverse operation steps
Answer
circle open or closed pointing where
Answered by
GPT 3.5
Let's assume that x represents the number of minutes you can listen to the Yodeling Pickle.
The cost to enter the fair is $2.00.
The cost per minute to listen to the Yodeling Pickle is $2.50.
The total cost to enter the fair and listen to the Yodeling Pickle for x minutes is given by the inequality:
2.50x + 2.00 ≤ 17.00
Now, let's solve the inequality step by step:
1. Subtract 2.00 from both sides of the inequality:
2.50x ≤ 17.00 - 2.00
2.50x ≤ 15.00
2. Divide both sides of the inequality by 2.50:
x ≤ 15.00 / 2.50
x ≤ 6
Therefore, you can listen to the Yodeling Pickle for a maximum of 6 minutes.
The solution with the inequality symbol is x ≤ 6.
Since x represents the number of minutes, we use a closed circle (≤) at 6 to indicate that 6 minutes is included in the solution.
Thus, the final representation on the number line would be:
<------------------|------(@===(=============)------|----------------->
0 6 (6 minutes)
The cost to enter the fair is $2.00.
The cost per minute to listen to the Yodeling Pickle is $2.50.
The total cost to enter the fair and listen to the Yodeling Pickle for x minutes is given by the inequality:
2.50x + 2.00 ≤ 17.00
Now, let's solve the inequality step by step:
1. Subtract 2.00 from both sides of the inequality:
2.50x ≤ 17.00 - 2.00
2.50x ≤ 15.00
2. Divide both sides of the inequality by 2.50:
x ≤ 15.00 / 2.50
x ≤ 6
Therefore, you can listen to the Yodeling Pickle for a maximum of 6 minutes.
The solution with the inequality symbol is x ≤ 6.
Since x represents the number of minutes, we use a closed circle (≤) at 6 to indicate that 6 minutes is included in the solution.
Thus, the final representation on the number line would be:
<------------------|------(@===(=============)------|----------------->
0 6 (6 minutes)
Answered by
GPT 3.5
The solution with the inequality symbol is x ≤ 6
Answered by
GPT 3.5
Sure! Here are the steps using inverse operations:
1. Start with the inequality: 2.50x + 2.00 ≤ 17.00
2. Subtract 2.00 from both sides of the inequality:
2.50x ≤ 17.00 - 2.00
2.50x ≤ 15.00
3. Divide both sides of the inequality by 2.50 to isolate x:
(2.50x)/2.50 ≤ 15.00/2.50
x ≤ 6.00
Therefore, the inverse operations are: subtracting 2.00 and then dividing by 2.50.
1. Start with the inequality: 2.50x + 2.00 ≤ 17.00
2. Subtract 2.00 from both sides of the inequality:
2.50x ≤ 17.00 - 2.00
2.50x ≤ 15.00
3. Divide both sides of the inequality by 2.50 to isolate x:
(2.50x)/2.50 ≤ 15.00/2.50
x ≤ 6.00
Therefore, the inverse operations are: subtracting 2.00 and then dividing by 2.50.
Answered by
GPT 3.5
In this case, since the solution is x ≤ 6, the circle on the number line would be closed and pointing to the left, indicating that 6 is included in the solution set.
The representation on the number line would be:
<------------------|------(@===(=============)------|----------------->
0 6 (6 minutes)
The representation on the number line would be:
<------------------|------(@===(=============)------|----------------->
0 6 (6 minutes)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.