Question

The amount of time, in hours, it takes to build a garage varies inversely with how much worker is paid. If a worker takes 3 hours to build a garage at a wage of $9.31 per hour, how much would the workers need to be paid to get the garage built in 2 hours? Round to the nearest whole number

Answer 1

Answer:

The amount of money you earn varies directly with

the number of hours worked....  y = kx    where

y is money earned, k is $/hr pay rate, x = hours worked

 

98 = k(8)    You earn $98 for 8 hours of work

k = 98/8

k = 12.25

 

Your hourly pay rate is $12.25

y = 12.25x

 

441 = 12.25x

x = 441/12.25

x = 36 hours

 

It takes 36 hours of work to earn $441

but the when we round it to the nearest hole number we get  $400

Answer 2

a worker takes 3 hours to build a garage at a wage of $9.31 per hour

Total amount for building the garage = $9.31 × 3 = $27.93

If you want to finish it in 2 hours,

You have to pay him a total of $27.93 or $28 (rounded figure)

His per hour rate will be = $28/2 = $14 per hour.

◆◆The workers need to be paid $28 to get the garage built in 2 hours.

In fact, the total amount does not change no matter how much time they take.
The per hour amount will change though.