SOLUTION: Choose the statement that is true about the given quantities: A. The quantity in column A is greater B. The quantity in column B is greater C. The two quantity are equa

Algebra ->  Graphs -> SOLUTION: Choose the statement that is true about the given quantities: A. The quantity in column A is greater B. The quantity in column B is greater C. The two quantity are equa      Log On


   

Question 155609: Choose the statement that is true about the given quantities:


A. The quantity in column A is greater
B. The quantity in column B is greater
C. The two quantity are equal
D. The relationship cannot be determined from the given information

Column A : f(3) where f(x) = 2x -7, if x < = 1
= -x + 9, if x > 1


Column B: f(2) where f(x) = x + 2, if x < 8
= 3x -3, if x > = 8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

f(3) is asking: "if x=3, then f(3)=? "

Since 3 is greater than 1, this means that we'll use the second equation y=-x%2B9


y=-x%2B9 Start with the second equation


y=-3%2B9 Plug in x=3


y=6 Add


So f%283%29=6

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f(2) is asking: "if x=2, then f(2)=? "

Since 2 is less than 8, this means that we'll use the first equation y=x%2B2


y=x%2B2 Start with the first equation


y=2%2B2 Plug in x=2


y=4 Add


So f%282%29=4


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Since f%283%29%3Ef%282%29, this means that the value of column A is greater than the value of column B. So the answer is A.