The equations in order from the first situation to the sixth situation are;
1. y = 2.5x, 2. y = 0.6x, 3. y = 2.33x, 4. y = 0.7x, 5. y = 1.6y and 6. y = 0.75.
Explanation:
Step 1; Maya ate x grams and Hiram ate 1.5 times more. So if Maya ate x grams, Hiram ate 1.5x grams more than her. So Hiram ate, y = 1.5x + x = 2.5x.
So the equation is y = 2.5x.
Step 2; Hiram practiced piano for x hours and Maya practiced for
less than that. So Maya practiced 0.4x hours lesser than Hiram. So Maya practiced for y = x - 0.4x = 0.6x hours.
So the equation is y = 0.6x.
Step 3; Maya drank x ounces of juice while Hiram drank
more than that. So Hiram drank 1.33x ounces more than Maya. So Hiram drank, y = x + 1.33x = 2.33x.
So the equation is y = 2.33x.
Step 4; Hiram collected x pounds of recyclables while Maya collected
less than that. So Maya collected 0.3x pounds lesser than Hiram. So Maya collected, y = x - 0.3x = 0.7x.
So the equation is y = 0.7x.
Step 5; Hiram completed x pieces of a puzzle while Maya completed
more than that. So Maya completed 0.6x pieces more than Hiram. So Maya completed, y = x + 0.6x = 1.6x.
So the equation is y = 1.6x.
Step 6; Maya spent x dollars while Hiram spent
dollars less than her. So Hiram spent 0.25x dollars less that Maya. So Hiram spent, y = x - 0.25x = 0.75x.
So the equation is y = 0.75x.