More Linear Relationships

Presentation

•

Mathematics

•

8th Grade

•

Hard

Joseph Anderson

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20 Slides • 7 Questions

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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.

$y=3x$

$\frac{1}{2}x=y$

$y=3.5x$

$y=\frac{5}{2}x$

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