If y varies directly with x and y = 2 when x = 10, then what is the value of y when x = 40? 200 45 320 8
1 answer:
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Answer:
The function p = 75h represents this situation.
Step-by-step explanation:
We know the equation of linear equation in the slope-intercept form is
where
m = rate of change = slope
b = y-intercept
- Let 'h' be the number of hours
- Let 'p' be the pay
Given that Lian is paid SR 75 per hour.
so the rate of change of slope = m = 75
As there is no initial condition, so b = 0
as
y = mx+b
Now, mapping the information data into the slope-intercept form
- p = y
- m = 75
- h = x
- b = 0
Thus, the equation becomes
p = 75h
Therefore, the function p = 75h represents this situation.
VERIFICATION:
Given the equation
p = 75h
for h = 1
p = 75(1)
p = 75
Thus, Liam is paid SR 75 per hour.
Length of circular track is:
L = 2*r*pi
He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi
To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds
v = L'/t = 3*r*pi/2*105
v = r* pi/70
If we take that r = 1
answer
L = 2*r*pi
He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi
To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds
v = L'/t = 3*r*pi/2*105
v = r* pi/70
If we take that r = 1
answer