2. Tickets to the zoo cost $12 for adults and $8 for children (students). The school has a
budget of $240 for the field trip. An equation representing the budget for the trip is:
12x + 8y = 240.
(LT: A. REI. D- Solving Graphically)
I
Here is a graph of this equation.
32
30
28
number of children
NAONANA 8%
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
number of adults
Select all the true statements.
a.
If no adult chaperones were needed, 30 students could go to the zoo.
b.
If ten students go to the zoo, then 15 adults can go.
C.
If four more adults go to the zoo, that means there will be room for six fewer
students.
d.
If two more students go to the zoo, that means there will be room for three
fewer adults.
e.
If 16 adults go to the zoo, then 6 students can go.

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step-by-step explanation:

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starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.