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KtIsSatan

So for question a you're going to create an equation using the formula f(x)=ax+b. f(x) represents your total and (x) represents the number of special exhibits. You replace a with 2 in this case because it's $2 for each exhibit. You Replace b with 10 in this case because it's $10 to enter the museum.

This means you get f(x)=2x+10 for a.

to solve b and d you simply replace x with 1, 2, 3, and 8 and solve for f(x).

to solve c you replace f(x) with 10 and solve for x.

If you need help solving b, c, and d let me know.

lyndalau86

Answer:

a) f(n) = 10 + 2n

b) See table below

c) The person went to the museum but didn't attend any special exhibits.

d) 26 dollars

e) f(n) = 10 + 2 (n -1)

Step-by-step explanation:

a) Use function notation to write an equation to represent the cost of attending n events.

The 10 dollar fee has to be paid always, just for admission, then, every time the person decides to go to a special exhibit, he/she would have to pay 2 dollars per exhibit.

The function, which would be in function of n events would be

f(n) = 10 + 2n (if the person doesn't go to any event, n = 0 and the price remains 10)

b) Make a table to represent the total  cost of admission plus 1, 2, 3 exhibits.

See table below.

c) What would f(0) represent?

It f(0) = 10 and it would represent the admission without any special exhibits (The person went to the museum but didn't attend any special exhibits)

d) What would be the cost for going to all 8 especial exhibits?

The total cost would be f(8) = 10 +2(8) = 10 + 16 = 26 dollars.

e) Determine a rule to find the total cost if the first exhibit was free.

If the first exhibit is free the charge would start with the 2nd exhibit attended. Therefore, if I attend 2 exhibits I would only be charged for one. If I attend 4, I'd be charge for 3... if I attend n exhibits I would be charged for n - 1.

Therefore the rule would be

f(n) = 10 + 2 (n-1)

(remember that f is in function of exhibits attended)

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