Work out the value of x-y
2 answers:
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Answer:
Explanation:
1) Charges are:
Flat fee: 500
First 100 tickets: 20(100) = 2000
Tickets over 100: 17 ( x - 100), where x is the number of tickets.
2) Total charges: 500 + 2000 + 17(x - 100) = 2500 + 17(x - 100)
3) Average cost per ticket = total charges / number of tickets
⇒ [2500 + 17(x - 100) ] / x
4) limit as the number of tickets, x, becomes very high ⇒ x → ∞
⇒
5) Here is the demostration of the value of that limit:
2500 / x + 17x / x - 1700/x = 0 + 17 + 0 = 17
Explanation:
1) Charges are:
Flat fee: 500
First 100 tickets: 20(100) = 2000
Tickets over 100: 17 ( x - 100), where x is the number of tickets.
2) Total charges: 500 + 2000 + 17(x - 100) = 2500 + 17(x - 100)
3) Average cost per ticket = total charges / number of tickets
⇒ [2500 + 17(x - 100) ] / x
4) limit as the number of tickets, x, becomes very high ⇒ x → ∞
⇒
5) Here is the demostration of the value of that limit:
2500 / x + 17x / x - 1700/x = 0 + 17 + 0 = 17
Answer:
The point of intersection is (-1,-3)
Step-by-step explanation:
Line A has a slope of 3/2 and passes through the point (3,3)
It is equation is:
Line B has a slope of -1/3 and passes through the point (-4,-2).
It's equation is
To find their point of intersection, we solve the two equations simultaneously.
Let's equate the right hand sides:
Expand:
Put x=-1 in the first equation:
The point of intersection is (-1,-3)