Q:

Addison painted her room. She had 505050 square meters to paint, and she painted at a constant rate. After 222 hours of painting, she had 353535 square meters left. Let yyy represent the area (in square meters) left to paint after xxx hours. Complete the equation for the relationship between the area and number of hours.

Accepted Solution

A:
Answer:y = 50 - 7.5xStep-by-step explanation:Given,The original area for painting = 50 m²,Let c meter per hour be the constant rate of painting,So, after 2 hours, the area painted = 2c m²,Thus, the area left to paint = 50 - 2cAccording to the question,50 - 2c = 352c = 15⇒ c = 7.5i.e. the constant rate of painting is 7.5 meters per hour,Hence, the area left after x hours = 50 - 7.5xIf y represents the area left to paint after x hours,Then,y = 50 - 7.5xWhich is the required equation.