<h3>
Answer: True</h3>
Explanation:
All direct proportion equations are <u>straight lines</u> that go through the <u>origin</u>.
In this case, the constant of proportionality is 5 because of the following
- y/x = 5/1 = 5
- y/x = 10/2 = 5
- y/x = 15/3 = 5
- y/x = 35/7 = 5
- y/x = 50/10 = 5
Each x,y set of values are selected from the points in the graph. The equation of the green line is y = 5x with slope 5 and y intercept 0.
Furthermore, that slope 5 indicates that the unit rate is 5 gallons per minute.
Answer:453rft
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can solve this in either of two approaches: Mathematically or Graphically.
<u>Mathematically</u>
y=-(3/4)(x-4)^2+12 where y is the height of the ball, and x is the time, in seconds.
We want to know how many seconds for the height to be 0, so y=0.
0 = -(3/4)(x-4)^2+12
-12 = -(3/4)(x-4)^2
12*(4/3) = (x-4)^2
16 = (x-4)^2
x = 8 and 0 (the initial point).]
It will reach the ground in 8 seconds
<u>Graphically</u>
Plot the function and find the time, x, when the graph passes through the x axis (after t = 0). Attached.
Xintercept is something of the form (x, 0)
So if y=0 then -4x-3=0; -4x=3; x= -3/4
X intercept is (-3/4,0)
Answer:
6 batches
Step-by-step explanation:
24 people x 4 cupcakes = 96 cupcakes
96 cupcakes / 16 per batch = <u>6 batches</u>
Hope this helped, have a nice day! :)
