Answer:
1) For each value of x, a value of y is increased by 5.
x = 0, y = 5
x = 1, y = 10
x = 2, y = 15
x = 3, y = 20
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2) For each two values of x, a value of y is increased by 10.
x = 0, y = -2
x = 2, y = 8
x = 4, y = 18
x = 6, y = 28
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3)
x = 0, y = 1
x = 1, y = [tex]\frac{7}{5}[/tex]
x = 5, y = 3
x = 10, y = 5
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4)
x = 0, y = 2
x = 1, y = 17
x = 2, y = 32
x = 5, y = 77
Step-by-step explanation:
This is as easy as replacing x for the actual value show on the table.
1)
[tex]y=5x+5[/tex]
When x = 0, y = ?
[tex]y=5(0)+5\\y=0+5\\y=5[/tex]
When x = 1, y = ?
[tex]y=5(1)+5\\y=5+5\\y=10[/tex]
When x = 2, y = ?
[tex]y=5(2)+5\\y=10+5\\y=15[/tex]
When x = 3, y = ?
[tex]y=5(3)+5\\y=15+5\\y=20[/tex]
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2)
[tex]y=5x-2[/tex]
When x = 0, y = ?
[tex]y=5(0)-2\\y=0-2\\y=-2[/tex]
When x = 2, y = ?
[tex]y=5(2)-2\\y=10-2\\y=8[/tex]
When x = 4, y = ?
[tex]y=5(4)-2\\y=20-2\\y=18[/tex]
When x = 6, y = ?
[tex]y=5(6)-2\\y=30-2\\y=28[/tex]
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3)
[tex]y=\frac{2}{5}x +1[/tex]
When x = 0, y = ?
[tex]y=\frac{2}{5}(0) +1[/tex]
[tex]y=0 +1\\y=1[/tex]
When x = 1, y = ?
[tex]y=\frac{2}{5}(1) +1\\y=\frac{2}{5} +1[/tex]
[tex]y=\frac{2}{5}+1(\frac{5}{5})\\ y=\frac{2}{5}+\frac{5}{5} \\y=\frac{7}{5}[/tex]
When x = 5, y = ?
[tex]y=\frac{2}{5}(5) +1\\y=2+1\\y=3[/tex]
When x = 10, y = ?
[tex]y=\frac{2}{5}(10) +1\\y=2(2) +1\\y=4+1\\y=5[/tex]
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4)
[tex]y=15x+2[/tex]
When x = 0, y = ?
[tex]y=15(0)+2\\y=0+2\\y=2[/tex]
When x = 1, y = ?
[tex]y=15(1)+2\\y=15+2\\y=17[/tex]
When x = 2, y = ?
[tex]y=15(2)+2\\y=30+2\\y=32[/tex]
When x = 5, y = ?
[tex]y=15(5)+2\\y=75+2\\y=77[/tex]
