Time (hours) Earnings (dollars)
8 $213.60
16 $424.20
31 $827.70
How much does she make in 5.5 hours?
To determine how much she makes in 5.5 hours, we can create a linear equation using the given data points.
First, we can find the slope of the line using the first two data points:
Slope = (Earnings for 16 hours - Earnings for 8 hours) / (Time for 16 hours - Time for 8 hours)
Slope = ($424.20 - $213.60) / (16 - 8)
Slope = $210.60 / 8
Slope = $26.325
Next, we can use the slope to find the y-intercept of the line:
y = mx + b
Using the first data point (8 hours, $213.60):
$213.60 = $26.325(8) + b
$213.60 = $210 + b
b = $213.60 - $210
b = $3.60
Now that we have the equation of the line, we can calculate how much she makes in 5.5 hours:
Earnings = $26.325(5.5) + $3.60
Earnings = $144.79 + $3.60
Earnings = $148.39
Therefore, she makes $148.39 in 5.5 hours.