Unit 5 - Lesson 17 - Grade 8: Illustrative Mathematics

At the end of the trip, how far did the truck drive, and how much gas did it use?

If a truck traveled half this distance at the same rate, how much gas would it use?

If a truck traveled double this distance at the same rate, how much gas would it use?

Write an equation that represents the relationship between V and s.

What happens to the volume if you double the edge length ? Where do you see this in the graph? Where do you see it algebraically?

Write an equation that represents the relationship between V and h. Use 3.14 as an approximation of π.

What happens to the volume if you halve the height, h? Where can you see this in the graph? How can you see it algebraically?

What do the coordinates of the labeled point represent?

What is the volume of the cone with height 5? With height 30?

Use the labeled point to find the radius of these cones. Use 3.14 as an approximation for π.