A ratio expresses the relationship between two quantities. Ratio reasoning can be applied to many different types of mathematical and real-life problems.
Q. How do you solve rate problems?
All rate problems can be solved by using the formula D = R(T), which translates to distance (D) equals rate (R) multiplied by time (T).
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Q. How do you use ratios and rates to solve problems?
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. Solve unit rate problems including those involving unit pricing and constant speed.
Q. What are the 2 types of ratio relationships?
In general, a ratio is an expression that shows the relationship between two values. It tells us how much of one thing is there as compared to another. There are two “kinds” of ratios: “part to part” and “part to whole“.
Q. How do you calculate rates?
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour.
Q. How can you tell when a rate is a unit rate?
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Q. How are reaction rates calculated?
The rate of a chemical reaction can also be measured in mol/s. For example, if two moles of a product were made during ten seconds, the average rate of reaction would be 2 ÷ 10 = 0.2 mol/s.
Q. What would speed up a reaction?
Increasing the temperature a reaction takes place at increases the rate of reaction. At higher temperatures, particles can collide more often and with more energy, which makes the reaction take place more quickly.
