6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?
1 answer:
Answer:
9 labours
Step-by-step explanation:
In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.
In indirect proportion, if one quantity increases, the other decreases and vice versa.
As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.
6 labours => 12 days
x labours => 8 days
Since its an inverse proprotion, multiply 6 with 12, and x with 8.
8x = 6 × 12
x =
∴ x = <u>9 labours</u>
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The graph that does not represents a proportional relationship is: A (see image attached below).
<h3>What is a Proportional Relationship?</h3>A proportional relationship has a constant, which is uniform and is defined in the equation y = kx, as k. This means a relationship that is proportionate will have an equation in that form.
For a proportional graph, the line must pass through the point of origin which is denoted by the ordered pair, (0, 0).
Therefore, from the options given, the option B represents a proportional relationship because it contains (0, 0), while option C and D takes the form of y = kx.
Therefore, option A does not represent a proportional relationship.
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