Her income consists of a constant rate of $35 and then she earns $8 for every additional item she sells. This can be written as:
[tex]\sf y=35+8x[/tex]
Where 'y' is the total amount she earns and 'x' is the number of items she sold.
For each ordered pair we can plug in the x-value and see if we get the y-value.
[tex]\sf y=35+8x[/tex]
[tex]\sf y=35+8(7)\rightarrow\boxed{\sf 91}[/tex]
The first point is on the graph.
[tex]\sf y=35+8x[/tex]
[tex]\sf y=35+8(11)\rightarrow 123[/tex]
The second point is not on the graph.
[tex]\sf y=35+8x[/tex]
[tex]\sf y=35+8(9)\rightarrow 107[/tex]
The third point is not on the graph.
[tex]\sf y=35+8x[/tex]
[tex]\sf y=35+8(4)\rightarrow\boxed{\sf 67}[/tex]
The fourth point is on the graph.
[tex]\sf y=35+8x[/tex]
[tex]\sf y=35+8(5)\rightarrow 75[/tex]
The fifth point is not on the graph.
[tex]\sf y=35+8x[/tex]
[tex]\sf y=35+8(3)\rightarrow\boxed{\sf 59}[/tex]
The sixth point is on the graph.
So points 'a', 'd', and 'f' are on the graph.
