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pishuonlain [190]
3 years ago
11

The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals.

Mathematics
1 answer:
kiruha [24]3 years ago
6 0

Answer:

Part a) 3.5 weeks

Part b) 185 tickets

Step-by-step explanation:

Part a) After how much time have the same number of tickets been sold for both festivals?

Let

x -----> the number of weeks

y ----> the number of tickets sold

we have

<em>Country Music Festival</em>

y=10x+150 ----> equation A

<em>Pop Music Festival</em>

y=20x+115 ----> equation B

Equate equation A and equation B

20x+115=10x+150

solve for x

20x-10x=150-115

10x=35

x=3.5\ weeks

Part b) What is the number of tickets sold at that time?

substitute the value of x=3.5 weeks  in the linear equation A or linear equation B

y=10(3.5)+150

y=35+150

y=185\ tickets

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Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:

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