Start off by finding the slope of the line with the formula 
.
Substitute the values. 
Subtract. 
Simplify. 
is the slope of the line.
Now, use the point-slope formula to create an equation, where 
is the slope and 
is a known point on the line. 
Substitute the values. 
Simplify. 
Move the 
to create the final equation in slope-intercept form. 
Answer:
Step-by-step explanation:
V = volume
r = rate
t = time
Use formula 
connecting volume, rate and time.
In your case,
cup of water
hours
r is unknown.
Substitute all data into the formula:
![\dfrac{1}{4}=r\cdot 1\dfrac{1}{2}\\ \\\dfrac{1}{4}=r\cdot \dfrac{3}{2}\\ \\2\cdot \dfrac{1}{4}=3r\ [\text{Multipled by 2}]\\ \\3r=\dfrac{1}{2}\\ \\r=\dfrac{\frac{1}{2}}{3}\ [\text{Divided by 3}]\\ \\r=\dfrac{1}{6}\ \text{cups per hour}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%201%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%5Cdfrac%7B1%7D%7B4%7D%3Dr%5Ccdot%20%5Cdfrac%7B3%7D%7B2%7D%5C%5C%20%5C%5C2%5Ccdot%20%5Cdfrac%7B1%7D%7B4%7D%3D3r%5C%20%5B%5Ctext%7BMultipled%20by%202%7D%5D%5C%5C%20%5C%5C3r%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B3%7D%5C%20%5B%5Ctext%7BDivided%20by%203%7D%5D%5C%5C%20%5C%5Cr%3D%5Cdfrac%7B1%7D%7B6%7D%5C%20%5Ctext%7Bcups%20per%20hour%7D)
Answer:
D) 14 seconds
Step-by-step explanation:
y = -4.9t^2 + 120t
We want to find out when y = 500
500 = -4.9t^2 + 120t
Subtract 500 from each side
500-500 = -4.9t^2 + 120t-500
0 = -4.9t^2 + 120t-500
a=-4.9 b= 120 and c = -500
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
-------------------------
2a
-120±sqrt(120^2 -4(-4.9)(-500))
-------------------------
2*(-4.9)
Solving this for the two solutions
t≈5.32415
t≈19.1656
The object will be above 500 meters between these two times
19.1656 - 5.32415 = 13.84145
This is approximately 14 seconds
Answer:
15 necklaces 5 bracelets
Step-by-step explanation:
