Lesson 6: Practice Problems

Problem 1

Create a graph that shows three linear relationships with different -intercepts using the following slopes, and write an equation for each line.

Slopes:

a blank grid

Problem 2

The graph shows the height in inches, , of a bamboo plant months after it has been planted.

A line graphed on the x y plane with the origin labeled O. The horizontal axis is labeled t, in months, with the numbers 1 through 15 indicated. The vertical axis is labeled h, in inches, with the numbers 5 through 50, in increments of 5, indicated. The line begins on the vertical axis at 12, slants upward and to the right passing through the points 1 comma 15, 6 omma 30, and 11 comma 45.
  1. Write an equation that describes the relationship between and .

  2. After how many months will the bamboo plant be 66 inches tall? Explain or show your reasoning.

Problem 3 From Unit 5 Lesson 3

Here are recipes for two different banana cakes. Information for the first recipe is shown in the table.

sugar (cups)

flour (cups)

The relationship between cups of flour and cups of sugar in the second recipe is

  1. If you used 4 cups of sugar, how much flour does each recipe need?

  2. What is the constant of proportionality for each situation and what does it mean?

Problem 4 From Unit 2 Lesson 11

Show that the two figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that takes the larger figure to the smaller one.

Two figures, ABCD and a larger version EFGH