Lesson 1: Practice Problems

Problem 1

A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing values.

square meters of ceiling	number of tiles
$1$
$10$
	$100$
$a$

Problem 2

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, $d$ , to the number of hours flying, $t$ , is $t = \frac{1}{500} d$ . How long will it take the airplane to travel 800 miles?

Problem 3

Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.

$s$
$P$
$2$
$8$
$3$
$12$
$5$
$20$
$10$
$40$
Constant of proportionality:

Equation:
$P =$
$d$
$C$
$2$
$6.28$
$3$
$9.42$
$5$
$15.7$
$10$
$31.4$
Constant of proportionality:

Equation:
$C =$

$s$	$P$
$2$	$8$
$3$	$12$
$5$	$20$
$10$	$40$

$d$	$C$
$2$	$6.28$
$3$	$9.42$
$5$	$15.7$
$10$	$31.4$

Problem 4 From Unit 2 Lesson 9

Diego bought 12 mini muffins for $4.20.

number of mini muffins	price in dollars
$12$	$4.20$

At this rate, how much would Diego pay for 4 mini muffins?
How many mini muffins could Diego buy with $3.00? Explain or show your reasoning. If you get stuck, consider using the table.

Problem 5 From Unit 2 Lesson 10

It takes $1 \frac{1}{4}$ minutes to fill a 3-gallon bucket of water with a hose. At this rate, how long does it take to fill a 50-gallon tub? If you get stuck, consider using a table.