Final answer:
The ratio of glue bottles to scissors can be expressed in fraction form as any two numbers that maintain the relationship, such as 3/2. A proportion is when two ratios are set equal, like 5/1 = 2.75/1 cm, indicating equivalence between two measurements. Consistent units are essential for calculating proportions accurately.
Step-by-step explanation:
Representing the ratio of glue bottles to scissors in fraction form using numbers other than 4 and 5 can be done by choosing any two numbers that express the relationship between the quantities. For instance, if there are 3 glue bottles for every 2 pairs of scissors, the ratio can be written as 3/2. Ratios are a way to compare quantities and can be written in various forms: as fractions, with a colon, or with the word "to". When written as a fraction, the numerator represents the first quantity and the denominator represents the second.
Proportions involve setting two ratios equal to one another. If we have a given proportion such as 5/1 = 2.75/1 cm, it illustrates that for every 5 units of the first quantity, there are 2.75 units of the second quantity, measured in centimeters. Similarly, a proportion like 1/20 = 1/5.5 meters highlights an equivalence between two different scales of measurement.
Using scale factors and unit rates can help us find actual dimensions. Unit scale on a map, for example, helps us understand real world distances. An example ratio for scale might be 0.5/5, indicating that a half-inch on the map represents 5 feet in reality. When writing proportions, it's crucial to keep units consistent to perform accurate calculations.