The revenue each season from tickets at the theme part is represented by t(x) = 5x. The cost to pay the employees each season is
represented by r(x) = (1.5)x. Examine the graph of the combined function for total profit and estimate the profit after four seasons.
A. 1
B. 5
C. 10
D. 15
A. 1
B. 5
C. 10
D. 15
1 answer:
Answer: D. 15
Step-by-step explanation:
Given : The revenue each season from tickets at the theme part is represented by .
The cost to pay the employees each season is represented by .
From the given graph , we can see that at 4th season, the profit = 15
Hence, the estimated profit after four seasons. =15
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Answer:
24 cm
Step-by-step explanation:
Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.
Area of the shaded region (square) =
To find: the perimeter of the star
Solution:
Area of the shaded region (square) =
Area of square =
As each equilateral triangle has side lengths that are the same as the side length of the square,
length of side of the star = 3 cm
Perimeter is the sum of lengths of the sides.
Perimeter of star = sum of 8 sides of the star
= 8 × 3 = 24 cm
Answer:
Part 1) Descending Rate = -2,000 ft/min
Part 2) Starting altitude value is 33,000 ft
Part 3) The linear equation for the plane's altitude (y) as a function of time (x) is:
Part 4) The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent
Step-by-step explanation:
Part 1)
The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):
Part 2)
When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft
Part 3)
We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b
by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:
with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:
Part 4)
The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.