Question

The table and the graph below each show a different relationship between the same two variables, x and y у 300 240 100 180 5 125 120 60 6 2 8 10 7 175 How much more would the value of y be on the graph than its value in the table when x = 12? (1 point) 60 30 20 70

Answer 1

We are given the graph of a line. We notice that the line goes through the origin, therefore, the equation must be of the following form:

`y=mx`

Replacing the point (4, 100) we get:

`100=m(4)`

Solving for "m" by dividing by 4 to both sides:

`(100)/(4)=m`

Solving the operation:

`25=m`

Replacing the value of "m":

`y=25x`

Replacing the value of x = 12:

`y=25(12)`

Solving the operation:

`y=300`

Now for the graph, we use the same general form:

`y_2=mx`

We replace the point (2, 60) we get:

`60=m(2)`

Solving for "m":

`\begin{gathered} (60)/(2)=m \\ 30=m \end{gathered}`

Replacing the value of "m":

`y_2=30x`

Replacing x = 12:

`\begin{gathered} y_2=(30)(12) \\ y_2=360 \end{gathered}`

Therefore, the value of "y" is 60 more on the graph in comparison with the table.