a bicycle rider increases his speed from 15 m/s to 5 m/s in 10 seconds. what is his rate of acceleration
1 answer:
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Answer:
The 2nd option is correct.
i.e.
y = 10+1, because the rate of change of the graphed function is 3.
Step-by-step explanation:
From the graph,
Taking two points
- (0, 0)
- (3, 9)
Finding the rate of change or slope between (0, 0) and (3, 9)
Using the formula
Rate of change = Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [9 - 0] / [3 - 0]
= 9 / 1
= 3
Thus, the rate of change or slope of the line = m = 3
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
Considering the function in 2nd option
y = 10x+1
Comparing with the slope-intercept form of the line equation y = mx+b
The rate of change or slope = m = 10
Conclusion:
The rate of change or slope of the graphed line: m = 3
The rate of change or slope of y = 10x+1 is: m = 10
Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.
Hence, the 2nd option is correct.
i.e.
y = 10+1, because the rate of change of the graphed function is 3.
Answer:
Measure of side YX is 22 units.
Step-by-step explanation:
Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.
By substituting the values given in the picture in the ratio,
By cross multiplication,
2(3x - 9) = 3(x + 8)
6x - 18 = 3x + 24
(6x -18) + 18 = 3x + 24 + 18
6x - 3x = (3x + 42) - 3x
6x - 3x = 42
3x = 42
x =
x = 14
m(YX) = x + 8
= 14 + 8
= 22
Therefore, measure of side YX is 22 units.