The table below shows Yusuf's earnings on the job.
Time (hours) Earnings (dollars)
4 $64.80
22 $356.40
25 $405
How long does it take him to make $267.30?
To find out how long it takes Yusuf to make $267.30, we need to create a linear equation based on the given data points and then solve for the time when earnings reach $267.30.
First, let's find the rate at which he earns money per hour. We can do this by calculating the slope using the two data points provided:
Slope = (Earnings2 - Earnings1) / (Time2 - Time1)
Slope = ($356.40 - $64.80) / (22 - 4)
Slope = $291.60 / 18
Slope = $16.20 per hour
Now that we have the rate at which he earns money per hour, we can create a linear equation in the form of y = mx + b, where y is the earnings, m is the earnings per hour, x is the time in hours, and b is the initial earnings.
Using the point (4, $64.80), we can substitute the values into the equation:
64.80 = 16.20(4) + b
64.80 = 64.80 + b
b = 0
Therefore, the equation is y = 16.20x.
Now, we can set up the equation to find the time it takes to earn $267.30:
267.30 = 16.20x
x = 267.30 / 16.20
x ≈ 16.5
It takes Yusuf approximately 16.5 hours to earn $267.30.