A and B are correct for this one!!
A)
The formula for the distance in a given time, is x = vt - 0.5gt^2
where x is the distance
v is the initial velocity, given as 64 ft/s
g is the acceleration due to gravity which is equal to 32 ft/s^2
t is the time
Now you have:
x = 64t - 0.5(32)t^2
Simplify:
x = 64t -16t^2
Rearrange this so the exponent is first:
h(t) = -16t^2 +64t
B) See attached picture:
C) Maximum height was 64 feet. It reached maximum height in 2 seconds and total time in the air was 4 seconds.
There is not enough information to answer this question.
First cake requires x cups of flour.
Second cake: x + 1/2
Third cake: 2x
2 pound bag has 8 1/2 cups and it's exactly what Carly needs, so we can write it down as:
8 1/2 = x + x + 1/2 + 2x
8 1/2 = 2x + 1/2 + 2x
8 1/2 = 4x + 1/2 / - 1/2 (both sides)
8 = 4x / ÷ 4 (both sides)
<u>x = 2</u>
Doublecheck:
2 + 2 + 1/2 + 2 * 2 =
= 2 + 2 + 1/2 + 4 =
= 4 + 1/2 + 4 =
= 8 + 1/2 =
= 8 1/2
It's the same, so it must be correct ;)
Answer: Carly needs 2 cups of flour for each cake.