Adding and Subtracting Rational Expressions

This video tutorial covers the concept of scale models and drawings, explaining how they represent objects that are too large or small to be shown at actual size. It discusses the proportional relationship between the dimensions of a model and the actual object. The video includes several example problems that demonstrate how to calculate actual sizes from scale drawings and vice versa. It also explains how to find missing scales by setting up and solving proportions.

What does a scale in a drawing typically represent?

• The cost of materials used in the drawing

• The time taken to create the drawing

• The color scheme of the drawing

• The ratio of the model's size to its actual size

If a garden's width is 4 inches on a drawing with a scale of 1.5 inches to 4 feet, what is the actual width of the garden?

• 10 feet 8 inches

• 12 feet

• 8 feet

• 15 feet

How tall will a poster be if it is created using a scale where 4.5 inches on the poster equals 2 inches in real life, and the original photograph is 6 inches tall?

• 15 inches

• 13.5 inches

• 12 inches

• 10 inches

If a dollhouse is 12.3 inches tall using a scale of 0.5 inch to 1 foot, how tall is the actual house?

• 30.75 feet

• 6.15 feet

• 12.3 feet

• 24.6 feet

What is the length of an enlargement if the original drawing was 4.6 inches long and the scale used was 1 inch to 1.5 inches?

• 6.9 inches

• 7.5 inches

• 8 inches

• 5.5 inches

How tall is the model of Mount Rushmore if the actual monument is 60 feet tall and the scale used is 1 inch to 40 inches?

• 22 inches

• 18 inches

• 15 inches

• 20 inches

What is the area of the actual living room if it measures 4 inches by 6.5 inches on the plan, with a scale of 1 inch to 3 feet?

• 200 square feet

• 250 square feet

• 210 square feet

• 234 square feet

What is the scale used for a drawing if the model is 20 inches tall and the actual height is 6 feet?

• 1 inch to 0.3 feet

• 1 inch to 0.5 feet

• 1 inch to 0.4 feet

• 1 inch to 0.6 feet

If a model airplane is 18 centimeters long and the actual airplane is 60 meters long, what scale was used?

• 1 centimeter to 3.33 meters

• 1 centimeter to 3 meters

• 1 centimeter to 4 meters

• 1 centimeter to 2.5 meters

How do you find the scale of a drawing or model?

• Measure the drawing only

• Guess the approximate size differences

• Estimate the actual size without calculations

• Write and simplify the ratio of the model length to its actual length