A new roller coaster has three seats in each row. The following shows how the number of seats, y, changes as the number of rows, x, changes.

Question

A graph with x axis marked as the number of rows and y axis as the number of seats in the count of 1. The line is drawn from (0,0 to (3,10) and the header text as new roller coaster seating.

Which equation shows this relationship?
A.
y + 3 = x
B.
y = 3x
C.
y = x + 3
D.
3y = xA new roller coaster has three seats in each row. The following shows how the number of seats, y, changes as the number of rows, x, changes.

A graph with x axis marked as the number of rows and y axis as the number of seats in the count of 1. The line is drawn from (0,0 to (3,10) and the header text as new roller coaster seating.

Which equation shows this relationship?
A.
y + 3 = x
B.
y = 3x
C.
y = x + 3
D.
3y = x

Answer 1

To determine the equation that shows the relationship between the number of seats \(y\) and the number of rows \(x\) for the roller coaster, we need to analyze the information given.

According to the statement, there are 3 seats in each row. This means that for every row \(x\), the total number of seats \(y\) can be calculated as:

\[ y = 3 \times x \]

Now let's evaluate the options:

A. \(y + 3 = x\) (Not correct, as this does not represent the relationship stated.)

B. \(y = 3x\) (This matches our derived equation perfectly.)

C. \(y = x + 3\) (Not correct, as this does not correctly represent the relationship.)

D. \(3y = x\) (Not correct; rearranging this gives \(y = \frac{x}{3}\), which does not fit.)

Therefore, the correct equation that represents the relationship between the number of rows and the number of seats is:

B. \(y = 3x\)