Question

1. (l2) for a few months, jeff recorded the amount of fluid ounces of dishwasher detergent remaining (y) after his family washed (x) loads of dishes. the equation is: y = - 1.2x + 20. which statement correctly describes this situation? (circle one)

a. the amount of ounces left in the detergent bottle decreases linearly.
b. the amount of ounces left in the detergent bottle increases linearly.
c. the amount of ounces left in the detergent bottle decreases exponentially.
d. the amount of ounces left in the detergent bottle increases exponentially.

Explanation:

Step1: Identify the form of the equation

The equation $y = - 1.2x+20$ is in the form of a linear - equation $y = mx + b$, where $m=-1.2$ and $b = 20$.

Step2: Analyze the slope

The slope $m=-1.2$ is negative. In a linear relationship $y=mx + b$, when $m<0$, as $x$ (number of loads of dishes washed) increases, $y$ (amount of detergent remaining) decreases.

Answer:

A. The amount of ounces left in the detergent bottle decreases linearly.