Lesson 9: Practice Problems

Problem 1

At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.

How much does honey cost per ounce?
How much honey can you buy per dollar?
Write two different equations that represent this situation. Use $h$ for ounces of honey and $c$ for cost in dollars.
Choose one of your equations, and sketch its graph. Be sure to label the axes.

Problem 2

The point $(3, \frac{6}{5})$ lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply.

$(1, 0.4)$
$(1.5, \frac{6}{10})$
$(\frac{6}{5}, 3)$
$(4, \frac{11}{5})$
$(15, 6)$

Problem 3

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. There is a proportional relationship between the amount of raisins, $r$ (cups), and the amount of peanuts, $p$ (cups), in this recipe.

Write the equation for the relationship that has constant of proportionality greater than 1. Graph the relationship.
Write the equation for the relationship that has constant of proportionality less than 1. Graph the relationship.

Problem 4

Here is a graph that represents a proportional relationship.

A line is graphed in the coordinate plane with the origin labeled “O”. The x axis has the numbers 0 through 20, in increments of 2, indicated. The y axis has the numbers 0 through 20, in increments of 2, indicated. The line begins at the origin. It moves gradually upward and to the right passing through the point with coordinates 8 comma 6. There is also a point indicated on the line and the coordinates of that point have integer values.

Come up with a situation that could be represented by this graph.
Label the axes with the quantities in your situation.
Give the graph a title.
Choose a point on the graph. What do the coordinates represent in your situation?