(05.05 LC)
1 answer:
Answer:
A. $6
Step-by-step explanation:
We are given the table representing the number of days and the total charges in dollars.
So, the rate of change of the amount is given by,
The linear equation representing the situation is,
Total charges = Fee per days + Fixed amount.
i.e. Total charges, y = Rate multiplied by x + Fixed amount (c)
So, substituting the rate and the point (0,6), we get,
6 = 10 × 0 + c
i.e. c = 10
Thus, the equation is,
Total charges, y = Rate multiplied by x + Fixed amount (c)
i.e. y = 10x + 6
Hence, the fixed amount charged is $6.
So, option A is correct.
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Answer:
The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.
The area of the rectangle can be found by
The area of a semi-circle can be found with the formula where r is the radius.
Since we know the diameter of the semi-circle is 4,
the radius will be 4 ÷ 2 = 2.
Therefore, the area of the semi-circle is
Therefore, the area of the shape is or
(3 decimal places)
The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>If y = , it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = - , it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = - + 81
By expanding,
h(t) = -( - 24t + 144) +81
h(t) = - + 24t - 144 + 81
h(t) = - + 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) = + 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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