Answer: The (magnitude of the) rate of change increases over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Explanation:
1) I will start by showing the table in an easy way to read and understand:
Time (seconds) Height (feet)
0 144
1 128
2 80
3 0
2) Rate of change
- An initial clarification: the rate of change decreases since it is becoming more negative every second, but, in the analysis, the reasonable is to deal with the magnitude of this rate. The results shown below that the rate as a negative value, but the comparison is set about the magnitude of the change.
- The rate of change is calculated for every pair of consecutive points using this equation:
rate of change = [change in height] / [time elapsed]
a) rate₁: [128 - 144] feet / [ 1 - 0] sec = - 16 feet / sec ⇒ the object drops 16 feet in the first second.
b) rate₂ = [80 - 128] feet / [2 - 1] sec = - 48 feet/sec ⇒ the object drops 48 feet in the next second
c) rate₃ = [0 - 80] feet / [3 - 2] sec = - 80 feet/sec ⇒ the object drops 80 feet in the last second.
The rate of change is more negative every second: it increases in magnitude over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Answer:
Gordon gets £72
Step-by-step explanation:
£240....together
Sara.....2*(3x)
Gordon.....3x
Makachy......x
2*(3x)+3x+x=240
6x+3x+x= 240
10x=240/10
x=24
Gordon 3*24= 72
Answer:
y = 5x + 3
Step-by-step explanation:
Slope = (13 - 8)/(2-1) = 5
Equation:
y - 8 = 5(x - 1)
y - 8 = 5x - 5
y = 5x - 5 + 8
y = 5x + 3 <-----------the slope-intercept form
I think false.
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Velocity the speed AND direction of something.
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you run AROUND a track, so the direction changes. Thus velocity changes.
