More Linear Relationships

Draw

The tortoise and the hare are having a race. After the hare runs 16 miles the tortoise has only run 4 miles. This relationship can be described by the equation $$y=4x$$ , where $$x$$ is the distance tortoise “runs” in miles, and $$y$$ is the distance the hare runs in miles. Create a graph of this relationship.

Multiple Choice

What is the weight in newtons when the distance the spring has stretched is 55 cm?

• 200 newtons
• 140 newtons
• 100 newtons
• 70 newtons

Multiple Choice

The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.

Which scales could you use on the $$x$$ - and $$y$$ -axes of a coordinate plane to show all the distances and weights in the table?

• x-axis: increments of 1 cm; y-axis: increments of 50 newtons
• x-axis: increments of 5 cm; y-axis: increments of 20 newtons
• x-axis: increments of 25 cm; y-axis: increments of 5 newtons
• x-axis: increments of 10 cm; y-axis: increments of 15 newtons

Multiple Choice

Find the equation that describes the following situation: A dump truck is hauling loads of dirt to a construction site. After 20 loads, there are 70 square feet of dirt.

• $$y=3x$$

• $$\frac{1}{2}x=y$$

• $$y=3.5x$$

• $$y=\frac{5}{2}x$$

Multiple Choice

Find the equation that describes the following situation: I am making a water and salt mixture that has 2 cups of salt for every 6 cups of water.

• $$y=3x$$

• $$\frac{1}{2}x=y$$

• $$y=3.5x$$

• $$y=\frac{5}{2}x$$

Multiple Choice

Find the equation that describes the following situation: A store has a “4 for $10” sale on hats.

• $$y=3x$$

• $$\frac{1}{2}x=y$$

• $$y=3.5x$$

• $$y=\frac{5}{2}x$$

Multiple Choice

Find the equation that describes the following situation: For every 48 apples I pick, my students get 24.

• $$y=3x$$

• $$\frac{1}{2}x=y$$

• $$y=3.5x$$

• $$y=\frac{5}{2}x$$