joseph who is paid time and half for hours worked over 40 had gross weekly wages of $442 for working 48 hrs. what is his regular hourly pay?
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Let x = normal rate. Since he makes time and a half for ever hour over 40, his overtime rate is 1.5(x).
So if he worked 48 hours, he was paid 40 hours at x dollars an hour, and 8 hours at 1.5x dollars an hour.
He worked a total of 48 hours, so his total pay was 40(x) + 8(1.5x) = 442.
Multiplying out, we get 52x = 442, or x equals 8.5. So his regular hourly pay is 8.50.
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i have another question,
find linear formula if 2 box cost $4 and 4 box cost $6
I'm not sure what you're asking. If you are asking to make them into a line, then you could do it as follows.
Since we know 2 boxes cost 4 dollars, and 4 boxes cost 6 dollars, then to make this a linear formula, we must make it in the form y = mx + b.
We know two of the points, namely (2, 2) and (4, 6) since the boxes and their costs are given. I've assigned x to the boxes, and y to the cost.
Plugging in both points in y = mx + b, we have 2 = 2m + b, and 6 = 4m + b.
m is the slope, and is equal to the change in y over the change in x.
Change in Y = 4 when x changes by 2 (X goes up 2 boxes, Y goes up 4 dollars), so the slope is positive 2.
So we know have 2 = 4 + b and 6 = 8 + b, getting b = -2.
Since m = 2, and b = -2, y = mx + b ==> y = 2x - 2.