Question

The Queen Elizabeth 2 moves 49.5 feet for every gallon of fuel that it burns. Previously, it moved 36 feet per gallon. Write an equation and describe the proportionality.

Answer 1

The equation that represent a proportional relationship is:

$y=kx$

If cruise ship move 49.5 feet for every gallon that mean:

$\begin{gathered} y=kx \\ y=49.5x \end{gathered}$

Where y define a distance that cruise ships move and x fuel in gallon 49.5

is a proportionality constant.

Previousaly it moved 36 feet per gallon that mean:

$\begin{gathered} y=kx \\ y=36x \end{gathered}$

Proportionality is 36 is define as value of y in unit value of x.