Answer:
y = 1.1x +4.46
y = 129.86 for x = 114
Step-by-step explanation:
The two-point form of the the equation for a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7.98 -2.7)/(3.2 -(-1.6))(x -(-1.6)) + 2.7
y = 5.28/4.8(x +1.6) + 2.7
y = 1.1x +1.76 +2.7
y = 1.1x +4.46
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When x=114, the value of y is ...
y = 1.1(114) +4.46
y = 129.86
7056. 1008 x 7 = 7056. 7056 / 441 = 16
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
