What is the value of a?<br> A. 68<br> B. 146<br> C. 56<br> D. 34

A boathouse costs $2200 a month to operate, and it spends $550 each

Juliette [100K]

Answer:

Answer A: 300 n - 2200

Step-by-step explanation:

The profit function will be the income minus the cost of maintaining the boathouse.

The income comes from the number of boats that it docks (n) , times the monthly fee that each boat pays ($850), That is:

Income = 850 n

Now the monthly cost to operate the boathouse is the fix $2200 cost plus $550 per boat. That is:

2200 + 550 n

Now, the difference "Income - Cost" that defines the profit function becomes:

850 n - {2200 + 550 n} = 850 n - 550 n - 2200 = 300 n - 2200

4 0

3 years ago

NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear

oksano4ka [1.4K]

Answer:

7. inverse relationship; equation: y = 16/x

8. no relationship; no equation

Step-by-step explanation:

The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.

linear: constant differences
exponential: constant ratios
inverse: constant products

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In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.

relationship: inverse

y = 16/x

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As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.