Lesson 10: Practice Problems

Problem 1

Which graphs could represent a proportional relationship? Explain how you decided.

Problem 2

A lemonade recipe calls for $\frac{1}{4}$ cup of lemon juice for every cup of water.

Use the table to answer these questions.

$x$	$y$
$1$	$\frac{1}{4}$
$2$	$\frac{1}{2}$
$3$	$\frac{3}{4}$
$4$	$1$
$5$	$1 \frac{1}{4}$
$6$	$1 \frac{1}{2}$

What does $x$ represent?
What does $y$ represent?

Problem 3 From Unit 2 Lesson 9

Select all of the pieces of information that would tell you $x$ and $y$ have a proportional relationship. Let $y$ represent the distance between a rock and a turtle’s current position in meters and $x$ represent the number of minutes the turtle has been moving.

$y = 3 x$
After 4 minutes, the turtle has walked 12 feet away from the rock.
The turtle walks for a bit, then stops for a minute before walking again.
The turtle walks away from the rock at a constant rate.

Problem 4 From Unit 2 Lesson 7

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?

The sizes you can print a photo:
width of photo (inches)
height of photo (inches)
$2$
$3$
$4$
$6$
$5$
$7$
$8$
$10$
The distance from which a lighthouse is visible:
height of a lighthouse (feet)
distance it can be seen (miles)
$20$
$6$
$45$
$9$
$70$
$11$
$95$
$13$
$150$
$16$

width of photo (inches)	height of photo (inches)
$2$	$3$
$4$	$6$
$5$	$7$
$8$	$10$

height of a lighthouse (feet)	distance it can be seen (miles)
$20$	$6$
$45$	$9$
$70$	$11$
$95$	$13$
$150$	$16$