The number of kilograms that an object weighs varies directly as the number of pounds. If an object weighs 45 kilograms or about 100 pounds, about how many kilograms is an object that weighs 70 pounds?

Answer: 52.5 kilograms

Step-by-step explanation:

The number of kilograms that an object weighs varies directly as the number of pounds. In order to remove the proportionality symbol and make it an equation, we will introduce the constant of direct proportionality, q. It becomes

Number of kilograms = q * number of pounds. Let k represent number of kilograms and p represent number of pounds. Therefore

k = qp

q = k/p

If an object weighs 45 kilograms or about 100 pounds, it means k is 45 while p is 60

q = 45/60 = 0.75

The equation becomes k = 0.75p

If an object weighs 70 pounds, its weight in kilograms will be

k = 0.75*70 = 52.5 kilograms