Question

drag each tile to the correct box. not all tiles will be used.

find the increasing functions. then arrange the increasing functions in order from least to greatest rate of change.

\\y = \frac{5}{2}x + 10\\
\\y = -\frac{1}{2}x + \frac{1}{2}\\
\\y = \frac{3}{2}x - \frac{11}{2}\\
\\y = \frac{1}{2}x - 2\\
\\y = \frac{4}{3}x - \frac{7}{3}\\
\\y = \frac{3}{4}x - 10\\

Explanation:

Identify increasing functions

Using the Slope of a Line and Linear Equations knowledge points

$$
LATEXBLOCK0
$$

Compare rates of change

Using the Slope of a Line knowledge point

$$
LATEXBLOCK1
$$

Order the functions

Using the Slope of a Line knowledge point

$$
LATEXBLOCK2
$$

Answer:

$$y = \frac{1}{2}x - 2 < y = \frac{3}{4}x - 10 < y = \frac{4}{3}x - \frac{7}{3} < y = \frac{3}{2}x - \frac{11}{2} < y = \frac{5}{2}x + 10$$