Answer: The equation that has a graph which is a parabola with a vertex at (5, 3) would be y = (x – 5)^2 + 3. The general form of a parabola which the vertex is not in the origin is expressed as y = a(x - h)^2 + k where (h,k) represents the vertex.
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Answer:
Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
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The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
Given:
Week 1 : - 40
Week 2 : - 56
Week 3 : 105
Week 4 : 70
Week 5 : 140
Week 6 : ?
At the end of the 6th week, net profit is 252.
Profit = 105 + 70 + 140 = 315
Loss = 40 + 56 = 96
Net Profit = 315 - 96 = 219
252 - 219 = 33 Profit on Week 6.
Average profit : 252 / 6 = 42 per week
