Final answer:
The candle burns at a constant rate of 1.75 inches per hour, represented by the coefficient in the proportional relationship equation b = 1.75t. Proportion is a concept that is closely interlinked with ratios and fractions. A ratio is a comparison of quantities having the same unit.
Step-by-step explanation:
The equation b = 1.75t represents a proportional relationship where b is the number of inches a candle has burned away and t is the time in hours. The coefficient 1.75 in this equation is the rate at which the candle burns, which can be understood as the constant of proportionality. Therefore, the candle burns at a rate of 1.75 inches per hour.
A proportional relationship is a relationship between two variables where when one variable changes, increases, or decreases the other will change at a constant rate. The constant rate is viewed as a constant ratio between the two variables. Proportional relationships can be identified by proportional equations, graphs, or tables. The proportional relationship equation, which will be covered in this lesson, has a general format that it follow. The graphs are represented as straight lines. The tables are pairs of numbers that have a constant ratio between the pairs.
Proportion is a concept that is closely interlinked with ratios and fractions. A ratio is a comparison of quantities having the same unit. A ratio helps us determine how big or how small a quantity is when compared to another quantity. Proportion is an equation that states that two ratios or two fractions are equivalent. That is, two ratios are said to be proportional when they are equal. We learned that a ratio can be expressed in several forms by performing arithmetic operations on both sides of the ratio.