Question

A 15-gallon fish tank developed a leak. Each week the tank loses 2 gallons of water. Use the table to write a function to model the leak., (1 point) Responses y=−15x+2 y is equal to negative 15 x plus 2 y=−2x+15 y is equal to negative 2 x plus 15 y=15x−2 y is equal to 15 x minus 2 y=2x−15

Answer 1

To model the leak in a 15-gallon fish tank that loses 2 gallons of water each week, we can set up a function where \( y \) represents the amount of water in the tank after \( x \) weeks.

Initially, the tank has 15 gallons of water. Each week, it loses 2 gallons, so the amount of water in the tank decreases as time goes on.

The correct function can be expressed as:

\[
y = 15 - 2x
\]

This indicates that at \( x = 0 \) (the start), \( y = 15 \), and for each week that passes (each increase in \( x \)), 2 gallons are subtracted from the initial 15 gallons.

Since none of the options you provided exactly match this function, the closest representation that models the situation is:

\[
y = -2x + 15
\]

So, the correct answer among the provided options is:

\[
y = -2x + 15
\]