Answer:
y = 6.50x + 6 or 71 = 6.50x + 6
10 people are the max you can invite
Step-by-step explanation:
We have the simple equation
y = 6.50x + 6
6.50x because it it per person
6 because it is a flat one time charge
We want the max to be 71 so that will be our y
71 = 6.50x + 6
We are now going to solve for x
65 = 6.5x
x = 10
Hope it helps! (:
The inequality equation formed with the given credentials is 6.50x + 6 ≤ 71.00 and the solution to this inequality is x ≤ 10. That means for the party less than or equal to 10 members (not more than 10) can be invited.
The algebraic equation which is true for certain values of the variable is said to be an inequality equation. This equation involves comparing operators like 'greater than, 'less than, 'greater than or equal, or 'less than or equal.
Given that,
The party holds a basic fee of $6.00 and $6.50 per person
The target of spending money for the party is not more than $71.00
Considering each number of persons = x
Then, we can write the inequality equation as
6.00 + 6.50x ≤ 71.00
Step 1: Subtracting 6.00 from both the sides
⇒ 6.00 + 6.50x - 6.00 ≤ 71.00 - 6.00
⇒ 6.50x ≤ 65.00
Step 2: Dividing both sides by 6.50
⇒ (6.50x)/6.50 ≤ (65.00)/6.50
⇒ x ≤ 10
Thus, the number of friends who can be invited is not more than 10 people.
Learn more about inequalities here:
https://brainly.com/question/24372553
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