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An airplane reaches an altitude of 9000 meters and then begins to descend at a constant rate of 625 meters per minute. Which of the following equations can be used to determine y, the altitude of the airplane after x minutes?
A. y=-9000x+625
B. y=-625x+9000
C. y=9000x-625
D. y=625x-9000
B. y=-625x+9000
Identify the slope and y-intercept: 6x+3y=18
What is m=-2;b=6
Which of the following statements are true about the graph of the function y-3=2(x+1)? Select All that apply.
A.The x-intercept of the function is -2.5.
B.The y-intercept of the function is 1.
C.The rate of change of the function is 2.
D.The domain of the function is all real numbers.
The range of the function is all real numbers.
A, C, D, E
The graph of a linear function passes through the points (2, 7) and (6, -2). Which of the following statements are true about the function? Select All that apply.
A.The x-intercept of the function is 46/9.
B.The y-intercept of the function is 23/2.
C.The rate of change of the function is 4.5.
D.The domain of the function is {x│x≥0}.
E.The range of the function is {y│y≥0}.
A, B
The top ramp is 8 feet above ground level. Over the 20-foot length of the ramp, the height decreases at a constant rate to ground level. If x represents the horizontal distance from the top of the ramp and y represents the height of the ramp, which equation shows the relationship between x and y?
A. y=-5/2x + 20
B. y=-2/5x + 8
C. y=2/5x + 8
D. y=5/2x + 20
B. y=-2/5x + 8
Which equation represents the line that is perpendicular to 4x-6y=15 and passes through the point (6, 9)?
A. y - 9 = -3/2 (x-6)
B. y - 9 = 2/3 (x-6)
C. y + 9 = -3/2 (x+6)
D. y + 9 = 2/3 (x+6)
C
Line t contains the points (-8, 8) and (4, -1). Write the equation of the line that is perpendicular to line t and passes through the point (-2,-2).
y=4/3 x + 2/3
Let f(t) be the outside temperature (°F) t hours after 6 a.m. Explain the meaning of the following statement in terms of the context of the problem:
f (3) < f(9)
The outside temperature at 9am is lower than the outside temperature at 3pm.
Identify the key features of the function 5y=-20+3x. Select all that apply.
A. Domain: all real numbers
B. range: all real numbers
C. y-int (0, -4)
D. x-int (20/3, 0)
E. Slope = 5/3
F. end behavior y→-∞ as x→-∞ and y→+∞ as x→+∞
G. Slope = 3/5
A, B, C, D, F, G
Describing Transformations.
1. Match each transformation of the function 𝑓(𝑥) = 𝑥, written in function notation, with its correct description.
Function Notation Description
A. 𝑝(𝑥) = −3𝑓(𝑥) ______
B. ℎ(𝑥) = 𝑓(𝑥) − 3 ______
C. 𝑔(𝑥) = 𝑓(−3𝑥) ______
D. 𝑘(𝑥) = 𝑓(𝑥 − 3) ______
E. 𝑚(𝑥) = 3𝑓(−𝑥) ______
1. Vertical shift 3 units down.
2. Horizontal shift 3 units right.
3. Reflection across the 𝑦 −axis followed by horizontal compression
4. Vertical stretch followed by a reflection across the 𝑦 −axis.
5. Reflection across the 𝑥 −axis followed by a vertical stretch.
A. 5
B. 1
C. 3
D. 2
E. 4
The value of a mountain bike y (in dollars) can be approximated by the model y = 〖200(0.75)〗^t, where t is the number of years since the bike was new.
Select all the true statements:
A.The model represents exponential growth.
B.The model represents exponential decay.
C.The annual percent increase of the value of the bike is 25%.
D.The annual percent increase of the value of the bike is 75%.
E.The annual percent decrease of the value of the bike is 75%.
A, C
Brian deposits $550 into an account that earns 6.25% simple interest per year. How many years will it take for Brian’s investment to double?
A. About 1.6 years
B. About 3.2 years
C. About 16 years
D. About 32 years
C