Question

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00
for 20 hours of work. Find the amount of pay for 31 hours of work.

Answer 1

Answer:

x for 31 hours

proportion:

123.00−20

x−31

cross multiplication

123.00∗31=20x

20x=381.300 ∣divide by 20

x=190.65

For 31 hours pay is 190.65$.

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Answer 2

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)

$\frac{x}{123}=\frac{31}{20}$

x = (123×31)/20

 = $190.65

Therefore, The amount of pay for 31 hours of work is $190.65.

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