Mr. Visca’s: PreCalculus

Unit 1 – Day 1 (Modeling & Equa Solving 1)

Algebraic Expressions:

Ex1. Comparing Pizzas. A pizzeria sells a rectangular 18" by 24" pizza for the same price as its large round pizza (24"). If both pizzas are the same thickness, which option gives the most pizza for the money?

Visualizing and fitting graph to data:

Ex2. Galileo Galiliei would spend time rolling balls down an inclined plane and record the distance versus the time. Here is his data:

time
(in seconds) / 0 / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
Distance
(in inches) / 0 / 0.75 / 3 / 6.75 / 12 / 18.75 / 27 / 36.75 / 48

Can you guess what this graph looks like? Galileo came up with the formula: y = kt2

Let’s plot the points...

·  What is the value of k?

·  What is the distance traveled in 21 seconds?

Ex3. Percentage of Females in Prison Population

Year / % of Females
1980 / 3.8
1985 / 4.4
1990 / 5.5
1995 / 5.9
2000 / 6.7

Can you guess what this graph looks like?

Let’s plot the points...

Can we come up with an equation?

What percentage of females would make up the prison population in 2014?

HW: section 1-1: 2-10 even, 11-18 (omit 13), 21, 23

~ 11 ~