Meredith's new scale measures in both pounds and kilograms. The information on the box says the scale has a weight limit of 200 kilograms or 440 pounds. Using this information, approximate the unit rates of kilograms per pound and pounds per kilogram, to the nearest hundredth.
Can someone show me how to solve this problem?
kilograms/pound 200/440 you want to divide 440 into 200
pounds/kilogram 440/200
divide 200 into 440.
You do not just reduce fractions to lowest terms because the question asks for unit rates. This means you need a "1" in the denominator.
2.2 is my answer.
To approximate the unit rates of kilograms per pound and pounds per kilogram, we can divide the weight limit in one unit by the weight limit in the other unit. Let's calculate each unit rate step by step:
1. Kilograms per pound:
Divide the weight limit in kilograms (200 kg) by the weight limit in pounds (440 lbs):
Kilograms per pound = 200 kg / 440 lbs
Approximating to the nearest hundredth means rounding to two decimal places.
2. Pounds per kilogram:
Divide the weight limit in pounds (440 lbs) by the weight limit in kilograms (200 kg):
Pounds per kilogram = 440 lbs / 200 kg
Now, let's calculate each unit rate:
1. Kilograms per pound:
Kilograms per pound = 200 kg / 440 lbs
Kilograms per pound ≈ 0.45 kg/lb
2. Pounds per kilogram:
Pounds per kilogram = 440 lbs / 200 kg
Pounds per kilogram ≈ 2.2 lb/kg
Therefore, the approximate unit rates are:
Kilograms per pound ≈ 0.45 kg/lb
Pounds per kilogram ≈ 2.2 lb/kg
Sure! To find the unit rate of kilograms per pound, we need to divide the weight limit in kilograms (200 kilograms) by the weight limit in pounds (440 pounds).
Kilograms per pound = 200 kilograms / 440 pounds
To approximate the unit rate to the nearest hundredth, we can round the result to two decimal places.
Kilograms per pound ≈ 0.45 kilograms / 1 pound
Therefore, the approximate unit rate of kilograms per pound is 0.45 kilograms per pound.
To find the unit rate of pounds per kilogram, we need to divide the weight limit in pounds (440 pounds) by the weight limit in kilograms (200 kilograms).
Pounds per kilogram = 440 pounds / 200 kilograms
Again, to approximate the unit rate to the nearest hundredth, we can round the result to two decimal places.
Pounds per kilogram ≈ 2.20 pounds / 1 kilogram
Therefore, the approximate unit rate of pounds per kilogram is 2.20 pounds per kilogram.
Remember, unit rate is the amount of one unit in relation to another unit. In this case, the unit rate of kilograms per pound tells us the weight in kilograms for every 1 pound, and the unit rate of pounds per kilogram tells us the weight in pounds for every 1 kilogram.