What is the rate of change in the following scenario?
John is saving money for a trip to Washington DC. His grandmother gave him $50 to get him started. He decides to wash cars to raise the rest. He charges $5 a car.
The rate of change is 5.
100
-5(3x - 4) + 4 = 114
x = -6
100
Solve. -1 + x < 7
x < 8
100
Solve. |x+2| = 7
x = 5 or -9
100
Solve. |x-7|>4
x>11 or x<3
200
What is the independent quantity in the following scenario?
A scuba diver is currently at 50 feet below sea level. She begins to ascend toward the surface at a rate of 15 feet per minute.
The independent quantity is time in minutes.
200
10 - (8p + 3) = 9(2p - 5)
p = 2
200
2x + 4 > 24
x > 10
200
Solve. |2x-1| = 3
x = 2 or -1
200
Solve. |-2x+1| < 5
-2 < x < 3
300
What is the y-intercept in the following scenario?
Andrew pays $5 a month with a music club and then pays $.50 for each song that he downloads.
The y-intercept in this equation would be 5.
300
-16(2r - 7) = 4(5 - 3r)
r = 23/5
300
(1/3)x - 16 < -22
x < -18
300
Solve. |3/4x -6| = 21
x = 36 or x = -20
300
Solve. |1/2 x -5| > 3
x>16 or x<4
400
What is the dependent quantity in the following situation?
Gina is driving to her aunts house. She leaves her house and travels at a rate of 63 miles per hour.
The independent quantity in this situation is distance in miles.
400
-9 - (18v - 5) = 2(7v-16) - 3v
v = 28/29
400
-2x + 4 > 22 or -x +9 < 4
x < -9 or x > 5
400
|5x + 4| + 10 = 2
No solutions
400
Solve. |-x + 12| > -5
All real solutions
500
Write an equation for the following scenario.
Jack is flying his plane over San Diego and needs to land for more fuel. He is currently at a height of 8,000 feet. He begins his descent at a rate of 1200 feet per minute.
The equation for this situation is f(t) = -1200t + 8000.