The price of dress fabric is proportional to the length of fabric purchased. The graph shows this relationship.



What is the unit rate for the price to the length of the fabric?



Enter your answer in the box.

$
/m
The graph shows price, in dollars, on the y-axis and length of fabric, in meters, on the x-axis. The line y equals eight x goes through begin ordered pair 3 comma 24 end ordered pair and begin ordered pair 1 comma 8 end ordered pair.

1 answer

The equation of the line is given as \( y = 8x \), where \( y \) represents the price in dollars and \( x \) represents the length of fabric in meters.

To find the unit rate for the price to the length of the fabric, you can think of the coefficient of \( x \) in the equation \( y = mx \) (where \( m \) is the unit rate) as the price per meter of fabric.

From the equation \( y = 8x \), the coefficient \( 8 \) indicates that the price is $8 for every 1 meter of fabric.

So, the unit rate for the price to the length of the fabric is:

\[ 8 \text{ dollars/meter} \]

Thus, the answer is:

\[ 8 \text{ } / \text{ m} \]