A sideways opening parabola is in the form
, so we know from the process of elimination that it will either be b or c. Next we have to realize that if the parabola opens to the left it is a negative parabola, just like if a parabola opens upside down it is a negative parabola. So the one that has the negative out front is b.
Knowns:
C = mx + b
m = 367
b = 1500
C = 367x + 1500
Cost (c) = 16,600
16600 = 367x + 1500
subtract 1500 from both sides
15,100 = 367x
Divide both sides by 367
x = 41.14
41 Students can attend the trip! Hope this helps
For this problem, we plug in the <em>numbers for t</em> and the <em>appropriate letters for e</em> to the equation <em>e = 300 - 10t</em>.
a) a = 300 - 10(-2)
simplify: a = 300 + 20
simplify: a = 320 ft.
But, this is not a viable point because when t≤0, she doesn't move anywhere, thus, should consistently be 300 ft.
b) b = 300 - 10(3.5)
simplify: b = 300 - 35
simplify: b = 265 ft.
c) c = 300 - 10(30)
simplify: c = 300 - 300
simplify: c = 0 ft.
The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:
V = πr²h
V = π(8/2)²(20)
V = 1005.31 cm³
Therefore, the correct answer is option 1. Hope this answers the question. Have a nice day.
