Question

Question 51 ptsProblem 5Natalie makes $10.50 per hour, If she started working at 6:51 am, andfinished at 2:45 pmThen, she made $

Answer 1

we are given that Natalie makes $10.50 per hour. To determine how much she made from 6:51 am to 2:45 pm, we need to determine the number of hours in the given time frame.

To do that we will convert all the time to military time. Therefore, the initial and final hours are:

`\begin{gathered} 6\colon51am=6\colon51 \\ 2\colon45pm=14\colon45 \end{gathered}`

Now we subtract the times:

`14\colon45-6\colon51`

We subtract the hours and the minutes:

`14hour45\min -6hour51min=8hour-6\min =7hour54\min`

Therefore, the total time worked was 7 hours and 54 minutes.

Now, since the earnings are given in hours, we need to convert the 54 minutes into hours. To do that we will use the following conversion factor:

`1h=60\min`

Multiplying by the conversion factor we get:

`54\min *(1h)/(60\min )=0.9hours`

Therefore, the total time is:

`7h+0.9h=7.9h`

Now we multiply by the amount Natalie makes:

`10.50(dollars)/(h)*7.9h=82.95dollars.\text{ }`

Therefore, she makes $82.95