a. A multiplication and division equations is 9x/2 = 3. 2/3 gallon of paint is required to paint each square yard of wall.
b. A tape diagram that represents the situation is shown below.
In Mathematics and Geometry, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.
Part a.
By applying direct proportion to the given information, we have the following mathematical equation:
9/2 square yards = 3 gallons of paint
1 square yard = x gallons of paint
By cross-multiplying, we have the following;
9x/2 = 3
9x = 6
x = 6/9
x = 2/3 gallon of paint.
Part b.
In conclusion, we would use an online graphing tool to draw a tape diagram that models the situation as shown in the image attached below.
Complete Question;
Tyler painted 9/2 square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard of wall? a. Write multiplication and division equations to represent the situation. b. Draw a diagram to represent and answer the question.