D) Last week Lori earned a gross pay of $435 for working 52 hours. She is paid time-and-a-half for any time over 40 hours each week. Find her hourly rate of pay.

She makes 7.50 per hour

Step-by-step explanation:

Let x = regular rate

Time and a half = 1.5x

40 hours at x

52-40 = 12

12 hours at 1.5x

40x + 12 * 1.5x = 435

40x + 18x =435

58x = 435

Divide each side by 58

58x/58 = 435/58

x =7.5

She makes 7.50 per hour

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

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