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Serjik [45]
3 years ago
9

6. The following graph can be described using an equation of the form y = A cos(x)+C. Determine the

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

A = 7 and C = 2

Step-by-step explanation:

the constant C represents the average value of the wave. To find its value, we need to calculate the average between the y-coordinates of the highest and the lowest point.

The highest point has y = 9, and the lowest point has y = -5, so we have:

C = (9 - 5)/2 = 4/2 = 2

The value of A represents the increase in the amplitude of the wave.

For A = 1, the amplitude is 2 (lowest point = average - 1, highest point = average + 1)

So, in this case, the amplitude is the difference in the y-coordinates of the highest and the lowest point, and A is equal half the amplitude:

A = (9 - (-5)) / 2 = (9 + 5)/2 = 14/2 = 7

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Check out the image attachment for the filled out table. There may be more than one way to fill out the table, but I did it in the way I learned in the past.

Let's work through the table one row at a time
------------------------------------------------------------------------------
So we'll start with row 1

Row 1, column1: The value that goes here is 12 as each adult pays $12

Row 1, column2: You'll write 'a' without quotes here as there are 'a' adults ('a' is just a placeholder for a number)

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Now onto row 2

Row 2, column1: It costs $6 per young adult, so we write 6 here

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Now we add up the values per each column to get the column totals

Row 3, column1: The individual costs 12 and 6 add to 18. We won't use this value but it doesn't hurt to write it in. If it is confusing to add in, then just ignore this cell. The reason why we won't use this is because the number of adults (a) and young adults (y) is not necessarily the same. If we were guaranteed they were the same, then we could use this value. But again there's no guarantee. It's probably best to steer clear of this cell.

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Again everything is summarized in the image attachment. 

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