For groups of 80 or more people, a charter bus company determines the rate per person according to the formula:
Rate=8-0.05(n-80),n(greater than or equal to)80
where the rate is given in dollars and 'n' is the number of people.
Now, Express the revenue 'R' for the bus company as a function of 'n'.
Revenue = (240n-n^2)/20
n is greater than or equal to 80
well the problem does say express the revenue for the bus company as a function of n.
maybe this will help:
here are the answer choices:
1.(4+0.05n)n
2.(12-0.05n)n
3.12n+4
4.none of these
5.80n
6.8n-4
thanx so much
well i didn't want to post the answers because someone could easily choose an answer choice. i just wanted to compare reiny's answer to the answer i'd already gotten. i wanted to double check from a credible source.
Well, let's see here! To calculate the revenue 'R', we need to multiply the rate per person by the number of people, 'n'. According to the formula, the rate is determined by 8 minus 0.05 times (n minus 80).
So, the revenue can be expressed as:
R = (8 - 0.05(n - 80)) * n
Now, let's simplify this equation a bit!
R = (8n - 0.05n^2 + 4n) - 320
Combining like terms, we get:
R = -0.05n^2 + 12n - 320
Ta-da! That's the revenue 'R' as a function of the number of people, 'n'. But hey, if this bus company needs a clown to entertain their passengers, just let them know I'm available!
To express the revenue 'R' as a function of 'n' for the bus company, we need to multiply the rate per person by the number of people.
The formula to determine the rate per person is given as:
Rate = 8 - 0.05(n - 80)
Since the revenue is calculated by multiplying the rate by the number of people, we can express it as:
R = (8 - 0.05(n - 80)) * n
By expanding and simplifying the equation, we get:
R = 8n - 0.05n^2 - 640 + 4n
R = -0.05n^2 + 12n - 640
So, the revenue 'R' for the bus company is given as a function of 'n' by the equation R = -0.05n^2 + 12n - 640.
Your equation already expresses the revenue R as a function of n
Did you want to express n as a function of R ?
If so, expand it first, then solve for n
R = 8 - .05n + 4
R = 12 - .05n , this is the simplest R expressed as a function of n
.5n = 12 - R
n = (12 - R)/.05