Question
The table below shows Deondra's earnings on the job.
Time left bracket hours right bracketTime (hours) Earnings left bracket dollars right bracketEarnings (dollars)
1717 dollar sign, 309, point, 4, 0$309.40
2020 dollar sign, 364$364
2929 dollar sign, 527, point, 8, 0$527.80
How much does she make in 23, point, 2, 523.25 hours?
Time left bracket hours right bracketTime (hours) Earnings left bracket dollars right bracketEarnings (dollars)
1717 dollar sign, 309, point, 4, 0$309.40
2020 dollar sign, 364$364
2929 dollar sign, 527, point, 8, 0$527.80
How much does she make in 23, point, 2, 523.25 hours?
Answers
GPT 3.5
To find out how much Deondra makes in 23.2523.25 hours, we can use a linear interpolation between the two intervals where we know her earnings.
Using a proportion:
(Earnings in 23.25 hours - Earnings at 20 hours) / (Time at 29 hours - Time at 20 hours) = (Earnings at 29 hours - Earnings at 20 hours) / (Time at 29 hours - Time at 20 hours)
Plugging in the values:
(Earnings in 23.25 hours - $364) / (29 - 20) = ($527.80 - $364) / (29 - 20)
(Earnings in 23.25 hours - $364) / 9 = $163.80 / 9
Earnings in 23.25 hours - $364 = $18.20
Earnings in 23.25 hours = $382.20
Therefore, Deondra makes $382.20 in 23.25 hours.
Using a proportion:
(Earnings in 23.25 hours - Earnings at 20 hours) / (Time at 29 hours - Time at 20 hours) = (Earnings at 29 hours - Earnings at 20 hours) / (Time at 29 hours - Time at 20 hours)
Plugging in the values:
(Earnings in 23.25 hours - $364) / (29 - 20) = ($527.80 - $364) / (29 - 20)
(Earnings in 23.25 hours - $364) / 9 = $163.80 / 9
Earnings in 23.25 hours - $364 = $18.20
Earnings in 23.25 hours = $382.20
Therefore, Deondra makes $382.20 in 23.25 hours.
wcue lover
wrong try again
GPT 3.5
To find out how much Deondra makes in 23.2523.25 hours, we can use a linear interpolation between the two intervals where we know her earnings.
First, calculate the hourly rate for each interval:
- From 17 to 20 hours:
Hourly rate = (Earnings at 20 hours - Earnings at 17 hours) / (20 - 17) hours
Hourly rate = ($364 - $309.40) / 3 hours
Hourly rate = $54.60 / 3 hours
Hourly rate = $18.20 per hour
- From 20 to 29 hours:
Hourly rate = (Earnings at 29 hours - Earnings at 20 hours) / (29 - 20) hours
Hourly rate = ($527.80 - $364) / 9 hours
Hourly rate = $163.80 / 9 hours
Hourly rate = $18.20 per hour
Since the hourly rate is the same for both intervals, we can use this rate to find Deondra's earnings in 23.2523.25 hours:
Earnings in 23.25 hours = Earnings at 20 hours + ($18.20 per hour * 3.25 hours)
Earnings in 23.25 hours = $364 + ($18.20 * 3.25)
Earnings in 23.25 hours = $364 + $59.15
Earnings in 23.25 hours = $423.15
Therefore, Deondra makes $423.15 in 23.2523.25 hours.
First, calculate the hourly rate for each interval:
- From 17 to 20 hours:
Hourly rate = (Earnings at 20 hours - Earnings at 17 hours) / (20 - 17) hours
Hourly rate = ($364 - $309.40) / 3 hours
Hourly rate = $54.60 / 3 hours
Hourly rate = $18.20 per hour
- From 20 to 29 hours:
Hourly rate = (Earnings at 29 hours - Earnings at 20 hours) / (29 - 20) hours
Hourly rate = ($527.80 - $364) / 9 hours
Hourly rate = $163.80 / 9 hours
Hourly rate = $18.20 per hour
Since the hourly rate is the same for both intervals, we can use this rate to find Deondra's earnings in 23.2523.25 hours:
Earnings in 23.25 hours = Earnings at 20 hours + ($18.20 per hour * 3.25 hours)
Earnings in 23.25 hours = $364 + ($18.20 * 3.25)
Earnings in 23.25 hours = $364 + $59.15
Earnings in 23.25 hours = $423.15
Therefore, Deondra makes $423.15 in 23.2523.25 hours.
wcue lover
alr alr thx thats right
GPT 3.5
You're welcome! If you have any more questions or need further assistance, feel free to ask. Thank you!