Question

Lucy is filling a bucket with tie-dye shirts. She starts with 2 cups of colour dye in the bucket and then fills

the bucket at a rate of 12 cups per minute.
a. Write an equation that represents the relationship between the minutes that have
passed, x, and the amount of water in the tank, y.

Answer 1

The equation representing the relationship between the minutes passed and the amount of dye in the bucket is y = 12x + 2, where x is minutes and y is the amount of dye in cups.

Step-by-step explanation:

To write an equation representing the relationship between the minutes that have passed, x, and the amount of dye in the bucket, y, we start with the initial amount of dye and add the amount that is being filled over time.

Lucy starts with 2 cups of color dye, and the bucket is being filled at a rate of 12 cups per minute. So after x minutes, 12x cups of dye would have been added to the initial 2 cups. Therefore, the equation to represent this relationship is:

y = 12x + 2