Lesson 1 Piggy Banks and Pools Develop Understanding

Ready

Predict the next two terms in the sequence. State whether the sequence is arithmetic, geometric, or neither. Write an explicit equation for the sequences that are arithmetic or geometric.

1.

$4, - 20, 100, - 500, \dots$

2.

$3, 5, 8, 12, \dots$

3.

$64, 48, 36, 27, \dots$

4.

$1.5, 0.75, 0, - 0.75, \dots$

5.

$40, 10, \frac{5}{2}, \frac{5}{8}$

6.

$1, 11, 111, 1,111, \dots$

7.

$- 3.6, - 5.4, - 8.1, - 12.15, \dots$

8.

$- 64, - 47, - 30, - 13, \dots$

9.

Create a predictable sequence of at least four numbers that is NOT arithmetic or geometric.

Set

Identify whether the following statements represent a discrete or a continuous relationship.

10.

For every ton of paper that is recycled, $17 trees$ are saved.

11.

The hair on your head grows $\frac{1}{2} inch per month$ .

12.

The city of Buenos Aires adds $6, 000 tons$ of trash to its landfills every day.

13.

In $1929$ , from Black Thursday (October 24) through Black Tuesday (October 29), the Dow Jones Industrial Average (stock prices) declined by $25 %$ .

Create a graph to model the statement. Label the $x$ - and $y$ -axes appropriately. Be sure that your graph correctly represents whether or not the situation is continuous or discrete.

14.

Approximately $3.24 billion gallons$ of water flow over Niagara Falls daily.

15.

The average person laughs $15 times$ times per day.

Go

16.

Apples are on sale at the market at $4 pounds$ for $$ 2.00$ . What is the price for $1 pound$ ?

17.

Three apples weigh about a pound. About how much would $1 apple$ cost? (Round to the nearest cent.)

18.

One dozen eggs cost $$ 1.98$ . How much does $1 egg$ cost? (Round to the nearest cent.)

19.

One dozen eggs cost $$ 1.98$ . If the charge at the register for only eggs, without tax, was $$ 11.88$ , how many dozen were purchased?

20.

Best Shoes had a back to school special. The total bill for $4 pairs$ of shoes came to $$ 69.24$ (before tax). What was the average price for each pair of shoes?

21.

If you only purchased $2 pairs$ of shoes at Best Shoes instead of the $4$ described in problem 20, how much would you have paid, based on the average price?

Solve for $x$ . Show your work.

22.

$6 x = 72$

23.

$4 x = 200$

24.

$3 x = 50$

25.

$12 x = 25.80$

26.

$\frac{1}{2} x = 17.31$

27.

$4 x = 69.24$

28.

$12 x = 198$

29.

$1.98 x = 11.88$

30.

$\frac{1}{4} x = 2$

31.

Some of problems 22–30 could represent the work you did to answer problems 16–21. Write the number of the equation and the number of the story it represents.