Answer:
Minimum value of function is 63 occurs at point (3,6).
Step-by-step explanation:
To minimize :
Subject to constraints:
Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line
Eq (2) is in green in figure attached and region satisfying (2) is below the green line
Considering , corresponding coordinates point to draw line are (0,9) and (9,0).
Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line
Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)
Now calculate the value of function to be minimized at each of these points.
at A(0,9)
at B(3,9)
at C(3,6)
Minimum value of function is 63 occurs at point C (3,6).
The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.
Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r
Total spend, s(r): 30 + 2r
Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5 ----- this is the function notation
Standard form: s(r) is the dependent variable = s
s = 30 + 2r => s - 2r = 30 =>
s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form
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<span>By the time firework a has been launched, firework b has already been launched for 0.25 seconds, so if we treat the two as equations, then
a = 220 (t)
b =</span> 220 (t) + 220 (.25)
<span>And we want to know when these two equal eachother, as that's they will both detonate.
220t = 200 t + 200 (.25)
20t = 50
t = 2.5</span>
C is the correct answer I think