In Mrs. Floyd's kindergarten class, children make handprints in a round clay mold for their parents. The mold has a radius of 2
1 answer:
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Answer:
Function 1
Step-by-step explanation:
The rate of change is measured by the slope m
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m =
Calculate the slope of Function 2 using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 14.25) and (x₂, y₂ ) = (1, 15.75) ← 2 ordered pairs from the table
m = =
= 0.75 =
To compare the 2 fractions we require them to have a common denominator.
=
and
=
>
Thus Function 1 has the greater rate of change
1. Since each child kicks the same number of times, it is not important whether he or she kicks 1 time, 2, 3 or more times. So let all of them kick 1 time.
2. assume we start with a girl. We can start with either of the 77 girls, then second is a boy which can be either of the 76, the third is a girl which can be either of the 76 remaining, then the forth is one of the 76 boys...
3. So starting with a girl we have
77*(77)*76*(76)*75*(75)....*2*(2)*1*(1)=77!*77!
4. OR we could have started with a boy, where we would get again 77!*77!
5. Answer: 77!*77!+77!*77!=2
2. assume we start with a girl. We can start with either of the 77 girls, then second is a boy which can be either of the 76, the third is a girl which can be either of the 76 remaining, then the forth is one of the 76 boys...
3. So starting with a girl we have
77*(77)*76*(76)*75*(75)....*2*(2)*1*(1)=77!*77!
4. OR we could have started with a boy, where we would get again 77!*77!
5. Answer: 77!*77!+77!*77!=2