Question

Jonathan tries to mathematically model the number of seats in a given row. he tries to come up with an equation for the number of seats and determines: S=7r+2, where S is the number of seats in row, r.Does this equation work for r=1? what about for r=2 and r=3? show calculation that Support your yes/no answer

Answer 1

The expression for the number of seats S in a row r is given by:

`S=7r+2`

For r=1 we have:

`\begin{gathered} S=7(1)+2 \\ S=7+2 \\ S=9 \end{gathered}`

For 1 row we have 9 seats.

So far, this works, because the image has 9 seats in the first row.

For r=2 we have:

`\begin{gathered} S=7(2)+2 \\ S=14+2 \\ S=16 \end{gathered}`

16 seat for the second row. This does not work, because in the image we have 11 seats in the second row.

For r=3 we have:

`\begin{gathered} S=7(3)+2 \\ S=21+2 \\ S=23 \end{gathered}`

It also does not work. Because in the image we have 13 seats in the 3rd row, not 23.

So the equation of Jonathan does not work to model the number of seats.