Answer:
The amount of pay for 31 hours of work is $190.65.
Given:
Let 'A' be the weekly pay and 't' be the number of hours worked.
A = $123.0 for t = 20hrs
A ∝ t
To Find:
The payable amount for 31 hours of work.
Solution:
We are required to find the amount of pay for 31 hours of work/
It is given that weekly pay is directly proportional to the number of hours.
By introducing a constant for proportionality 'k' then the equation becomes
A = kt -------(1)
A₁ = $123.0 and t₁ = 20 hours
Substituting the given values on equation(1), we get
123.0 = k×20 ----- (2)
Let x be the amount for 31 hours of work and substitute these values in equation(1)
A₂ = x and t₂ = 31 hours
x =k×31 ----- (3)
To find the value of x, divide equation(3) by equation(2)
\frac{x}{123}=\frac{31}{20}
123
x
=
20
31
x = (123×31)/20
= $190.65
Therefore, The amount of pay for 31 hours of work is $190.65.
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Answers & Comments
Answer:
The amount of pay for 31 hours of work is $190.65.
Given:
Let 'A' be the weekly pay and 't' be the number of hours worked.
A = $123.0 for t = 20hrs
A ∝ t
To Find:
The payable amount for 31 hours of work.
Solution:
We are required to find the amount of pay for 31 hours of work/
It is given that weekly pay is directly proportional to the number of hours.
A ∝ t
By introducing a constant for proportionality 'k' then the equation becomes
A = kt -------(1)
A₁ = $123.0 and t₁ = 20 hours
Substituting the given values on equation(1), we get
123.0 = k×20 ----- (2)
Let x be the amount for 31 hours of work and substitute these values in equation(1)
A₂ = x and t₂ = 31 hours
x =k×31 ----- (3)
To find the value of x, divide equation(3) by equation(2)
\frac{x}{123}=\frac{31}{20}
123
x
=
20
31
x = (123×31)/20
= $190.65
Therefore, The amount of pay for 31 hours of work is $190.65.