If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain yo
1 answer:
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Answer:
8
Step-by-step explanation:
we know that
The rate of change of a linear equation is a constant that is the same that the slope
step 1
we have
The equation of the graph (function 1) is equal to
y=4
Is a horizontal line
The slope is equal to zero
so
The rate of change of function 1 is zero
step 2
The equation of the function 2 is
This is a linear equation in slope intercept form
where
the slope is equal to m=8
so
The rate of change of function 2 is 8
therefore
The rate of change of function 2 is 8 more than the rate of change of function 1
Check out the attached images Figure 1 through Figure 4
Figure 1 corresponds to answer choice A
Figure 2 corresponds to B
and so on...
As you can see, we have
* Choice A's angles are corresponding angles BUT they are NOT congruent (due to the fact that BH and CG aren't parallel)
* Choice B has corresponding angles that are congruent due to the parallel lines given. These angles are on the bottom of each parallel train track and they are on the same side of the transversal. This is why they are corresponding angles. In other words, they are in the same corresponding bottom right corner of each four-corner angle configuration.
* Choice C has alternate exterior angles. The angles are on the outside of the parallel train tracks, and they are on opposite sides of the transversal.
* Choice D has alternate interior angles. They are on the inside of the parallel train tracks, and they are on opposite sides of the transversal.
So the answer is actually choice B
Figure 1 corresponds to answer choice A
Figure 2 corresponds to B
and so on...
As you can see, we have
* Choice A's angles are corresponding angles BUT they are NOT congruent (due to the fact that BH and CG aren't parallel)
* Choice B has corresponding angles that are congruent due to the parallel lines given. These angles are on the bottom of each parallel train track and they are on the same side of the transversal. This is why they are corresponding angles. In other words, they are in the same corresponding bottom right corner of each four-corner angle configuration.
* Choice C has alternate exterior angles. The angles are on the outside of the parallel train tracks, and they are on opposite sides of the transversal.
* Choice D has alternate interior angles. They are on the inside of the parallel train tracks, and they are on opposite sides of the transversal.
So the answer is actually choice B