Answer:
number of youth admissions sold (x) = 74
number of adult admissions sold (y) = 32
Step-by-step explanation:
Let x = number of youth admissions
Let y = number of adult admissions
Given:
- total number of admissions sold = 106
⇒ x + y = 106
Given:
- cost of youth admission = $12.50
- cost of adult admission = $17.50
- total amount collected = $1485
⇒ 12.5x + 17.5y = 1485
Rewrite x + y = 106 to make y the subject:
⇒ y = 106 - x
Substitute y = 106 - x into 12.5x + 17.5y = 1485 and solve for x:
⇒ 12.5x + 17.5(106 - x) = 1485
⇒ 12.5x + 1855 - 17.5x = 1485
⇒ 5x = 370
⇒ x = 74
Substitute found value of x into y = 106 - x to find y:
⇒ y = 106 - 74
⇒ y = 32
For the first inequality, subtract 5 from both sides to get
For the second inequality, subtract 1 from both sides to get
Divide both sides by 6:
So, x has to be greater than or equal to -2, or less than -5, which is option D
The slope is 0.5
In an equation it would be 0.5x
Answer:
This equation is equivalent to 
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