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?
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.
wrong try again
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.