evilpanda24
New member
- Joined
- Jul 25, 2020
- Messages
- 3
1) You noticed a large water tower near the Towers of Trig. You get the idea that if its tall enough the park could put some advertisement on it. Thankfully, you brough the following items with you:
▪ Paper ▪ Pencil ▪ Eraser ▪ Calculator ▪ Measuring tape
a) Explain how you can use the above tools and similar triangles to calculate the height of the tower.
b) You remember that your phone has an app that measures angles of elevation and depression. Explain how with the addition of this you could use right angled trigonometry to determine the height of the tower?
2) The park had initially planned to charge $8 admission and was expecting 2400 visitors each day.
a) How much revenue will the park have for one day based on the pricing described above? Show your work.
b) The marketing department did some research and determined that for every $0.50 increase in price the park will lose 60 visitors. Determine the parks revenue if the price were increased by $1. Show your work.
c) After a few calculations, the class determines that the park will make more money if they raise the admission price. But they also know that if the price is too high, they will lose too many people and will end up with less revenue. As a result, the class determined the relation, ? = (2400 − 60?)(8 + 0.50?), represents the revenue, ?, depending on the number of price increases, ?. i. Write the revenue expression in standard from. ii. Use this to determine at what ticket price(s) the company will make $16770 in revenue. iii. Write the revenue expression in vertex form. What is the maximum revenue? At what ticket price will the park make this maximum revenue?
▪ Paper ▪ Pencil ▪ Eraser ▪ Calculator ▪ Measuring tape
a) Explain how you can use the above tools and similar triangles to calculate the height of the tower.
b) You remember that your phone has an app that measures angles of elevation and depression. Explain how with the addition of this you could use right angled trigonometry to determine the height of the tower?
2) The park had initially planned to charge $8 admission and was expecting 2400 visitors each day.
a) How much revenue will the park have for one day based on the pricing described above? Show your work.
b) The marketing department did some research and determined that for every $0.50 increase in price the park will lose 60 visitors. Determine the parks revenue if the price were increased by $1. Show your work.
c) After a few calculations, the class determines that the park will make more money if they raise the admission price. But they also know that if the price is too high, they will lose too many people and will end up with less revenue. As a result, the class determined the relation, ? = (2400 − 60?)(8 + 0.50?), represents the revenue, ?, depending on the number of price increases, ?. i. Write the revenue expression in standard from. ii. Use this to determine at what ticket price(s) the company will make $16770 in revenue. iii. Write the revenue expression in vertex form. What is the maximum revenue? At what ticket price will the park make this maximum revenue?