Answer:
We conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
k = y/x
where k is called the constant of proportionality
Given the points
For (10, 80)
substituting y = 80 and x = 10 in the equation
k = y/x
k = 80/10 = 8
For (20, 160)
k = y/x
k = 160/20 = 8
For (50, 400)
k = y/x
k = 400/50 = 8
It is clear that the value of k is the same for all the points.
Thus, the value of k = 8
Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Answer:
pq=xy-rm+x-rq
Step-by-step explanation:
Answer:
Step-by-step explanation:
There you go. Sorry if it's not too clear
Answer: 4 seconds
Step-by-step explanation:
We have the equation that models the height of the golf ball in feet after being hit.
When the ball reaches the ground its height is equal to zero.
Then to solve this problem you must equal h to zero and solve the equation for the variable t
![h = -16t^2 + 64t=0](https://tex.z-dn.net/?f=h%20%3D%20-16t%5E2%20%2B%2064t%3D0)
![-16t^2 + 64t=0](https://tex.z-dn.net/?f=-16t%5E2%20%2B%2064t%3D0)
Take 16t as a common factor
![-16t(t - 4)=0](https://tex.z-dn.net/?f=-16t%28t%20-%204%29%3D0)
The equation is equal to zero when t = 0 and when t = 4
t = 0 is at the instant in which the ball has just been hit and t = 4 seconds is the instant in which the ball touches the ground.
Then the answer is t=4 seconds
Answer:
36 yards
Step-by-step explanation:
causeimsmart