Slope = change in y over change in x:
Slope = (-6 6) / 2- -6) = -3/2
Equation of a line is y = Mx + b, where m is the slope and b is the y intercept.
Y = -3/2x + b
Replace y and x with one of the given points and solve for b:
6 = -3/2(-6) + b
6 = -9 + b
B = -9 + 6
B = -3
The equation of the line is y = -3/2x-3
If Eric wanted to walk 24,000 steps in 4 days, he would have to walk 6,000 steps each day (24/4=6). The correct answer would be the bottom answer as saying he has already walked 2 days it would be (y=-6,000(2)+24,000) this would simply out to (y=-12,000+24,000) and then (y=12,000).
Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
