Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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= 16 when x = 4, find y when x = 10.
Cu varies inversely with x and y = 4 when x = 2, find y when x = 8.
a IỂ v is inversely proportional to x and y = 0.25 when x = 4, find y whenx = 10.
28. If y varies directly with x and y
29. If y varies inversely with x and y
30. If v is directly proportional to x and y = 5 when x = 1, find y when x = 20.
= 3 when x = 2, find y when x = 7.
4 when x = 3, find y when x = 2.
State whether each of the following represents a direct or inverse variation, and find the com
nd, where d is the diameter of t
32. The formula for the additional pressure resulting from being underwater is P = 0.4
depth below the surface.
31. The formula for the circumference of a circle is c =
33. Boyle's law states that the product of the pressure, P, exerted by a gas and its volu
there
no change in temperature. Gene was able to determine that 5 m² of a gas
0.8 kilopascals.
34. Charles's law states that the volume, V, of a gas increases proportionally as the
ncreases if the pressure remains constant. At a temperature of 500 K, a given an
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