Answer :
In #16, every time 'x' increases by 1, the function increases by 3.
So you know that the slope is 3.
But the function isn't simply 3 times x . It's 4 less than that.
f(x) = 3x - 4
In #18, every time 'x' increases by 3, the function increases by 15.
So you know that the slope is 15/3 = 5.
But the function isn't simply 5 times x . It's 2 less than that.
f(x) = 5x - 2
So you know that the slope is 3.
But the function isn't simply 3 times x . It's 4 less than that.
f(x) = 3x - 4
In #18, every time 'x' increases by 3, the function increases by 15.
So you know that the slope is 15/3 = 5.
But the function isn't simply 5 times x . It's 2 less than that.
f(x) = 5x - 2
[tex]16.\\y=3x-4\\\\check:\\x=2\to y=3(2)-4=6-4=2\\x=3\to y=3(3)-4=9-4=5\\x=4\to y=3(4)-4=12-4=8\\x=5\to y=3(5)-4=15-4=11[/tex]
[tex]------------------------------[/tex]
[tex]17.\\y=6x+1\\\\check:\\x=0\to y=6(0)+1=1\\x=1\to y=6(1)+1=7\\x=2\to y=6(2)+1=12+1=13\\x=3\to y=6(3)+1=18+1=19[/tex]
[tex]------------------------------[/tex]
[tex]18.\\y=5x-2\\\\check:\\x=3\to y=5(3)-2=15-2=13\\x=6\to y=5(6)-2=30-2=28\\x=9\to y=5(9)-2=45-2=43\\x=12\to y=5(12)-2=60-2=58[/tex]
[tex]------------------------------[/tex]
[tex]17.\\y=6x+1\\\\check:\\x=0\to y=6(0)+1=1\\x=1\to y=6(1)+1=7\\x=2\to y=6(2)+1=12+1=13\\x=3\to y=6(3)+1=18+1=19[/tex]
[tex]------------------------------[/tex]
[tex]18.\\y=5x-2\\\\check:\\x=3\to y=5(3)-2=15-2=13\\x=6\to y=5(6)-2=30-2=28\\x=9\to y=5(9)-2=45-2=43\\x=12\to y=5(12)-2=60-2=58[/tex]