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)
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
7 answers
solution with the inequality symbol
The solution with the inequality symbol is x ≤ 6
inverse operation steps
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.
circle open or closed pointing where
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)
1 answer