Question

a business analyst makes 20$ an hour for the first 42 hours he works during a week and 28$ an hour for each worked over 42 hours. which piecewise equation models his weekly pay y in dollars as it relates to the number of hours x that he has worked during the week

Answer 1

y=(20 × 42) + [28 × (x-42)]

Answer 2

Answer:

$y=28(x-42)+840$

Step-by-step explanation:

Let he works for x hours in total.

We are given that he makes 20$ an hour for the first 42 hours

So, he earns in 1 hour = 20

He earns in 42 hours = $20 \times42$

                                   = $840$

Now we are given that he earns $28 an hour for each hour worked over 42 hours.

Since he worked for 42 hours out of x hours .

So, remaining hours = x-42 hours

So,he earns for x-42 hours = $28\times(x-42)$

y denotes his total earning of weekly

So, total earning $y=28(x-42)+840$

Hence piecewise equation models his weekly pay y in dollars as it relates to the number of hours x that he has worked during the week is $y=28(x-42)+840$