Question

P= pay rate (regular)

Alex works 40 hours. When he works overtime, he gets 50% more than his usual pay. Alex worked 6 hours overtime.

What is an expression that can be made with this information?

Answer 1

Let's start by finding the amount that Alex earns per hour before overtime. We know that he works 40 hours, so if we let his hourly pay be x, then his total pay before overtime can be expressed as 40x.

Since Alex gets 50% more than his usual pay for overtime, his overtime pay per hour would be 1.5x, or his usual pay plus 50% of his usual pay. This means that for the 6 hours of overtime he worked, he would earn a total of 6 * 1.5x = 9x.

Now we can write an expression for Alex's total pay, including overtime:

Total pay = 40x + 9x

Simplifying this expression, we get:

Total pay = 49x

So Alex's total pay, including overtime, is 49 times his hourly pay.