Which of the following statements is always true about the function y=a•b^x
1 answer:
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The easiest way to tell whether lines are parallel, perpendicular, or neither is when they are written in slope-intercept form or y = mx + b. We will begin by putting both of our equations into this format.
The first equation,
is already in slope intercept form. The slope is 1/2 and the y-intercept is -1.
The second equation requires rearranging.
From this equation, we can see that the slope is -1/2 and the y-intercept is -3.
When lines are parallel, they have the same slope. This is not the case with these lines because one has slope of 1/2 and the other has slope of -1/2. Since these are not the same our lines are not parallel.
When lines are perpendicular, the slope of one is the negative reciprocal of the other. That is, if one had slope 2, the other would have slope -1/2. This also is not the case in this problem.
Thus, we conclude that the lines are neither parallel nor perpendicular.
The first equation,
The second equation requires rearranging.
From this equation, we can see that the slope is -1/2 and the y-intercept is -3.
When lines are parallel, they have the same slope. This is not the case with these lines because one has slope of 1/2 and the other has slope of -1/2. Since these are not the same our lines are not parallel.
When lines are perpendicular, the slope of one is the negative reciprocal of the other. That is, if one had slope 2, the other would have slope -1/2. This also is not the case in this problem.
Thus, we conclude that the lines are neither parallel nor perpendicular.
Alright! Given that C(x) is Cost(Students) = 558, we can eliminate:
2. 558 students paid to attend the event.
5. The event generated $124 from student revenue.
Now, in order to find the cost per student we simply divide 124 on both sides:
124 cancels on the left and 558/124 is 4.5 or $4.50.
Since we just determined the cost of one student, we can eliminate 3.
To check if 124 students paid, we simply add the cost to the equation and check:
4.5(124) = 558
558 = 558 √
It checks out, so we determined that both 1 and 4 are correct.
2. 558 students paid to attend the event.
5. The event generated $124 from student revenue.
Now, in order to find the cost per student we simply divide 124 on both sides:
124 cancels on the left and 558/124 is 4.5 or $4.50.
Since we just determined the cost of one student, we can eliminate 3.
To check if 124 students paid, we simply add the cost to the equation and check:
4.5(124) = 558
558 = 558 √
It checks out, so we determined that both 1 and 4 are correct.