Question

I need help with this one

Answer 1

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:


`\sf y=35+8x`

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.


`\sf y=35+8x`

`\sf y=35+8(7)\rightarrow\boxed{\sf 91}`
The first point is on the graph.


`\sf y=35+8x`

`\sf y=35+8(11)\rightarrow 123`
The second point is not on the graph.


`\sf y=35+8x`

`\sf y=35+8(9)\rightarrow 107`
The third point is not on the graph.


`\sf y=35+8x`

`\sf y=35+8(4)\rightarrow\boxed{\sf 67}`
The fourth point is on the graph.


`\sf y=35+8x`

`\sf y=35+8(5)\rightarrow 75`
The fifth point is not on the graph.


`\sf y=35+8x`

`\sf y=35+8(3)\rightarrow\boxed{\sf 59}`
The sixth point is on the graph.

So points 'a', 'd', and 'f' are on the graph.