## Represent a Math Problem

## Work Time

# Represent a Math Problem

Explore each of these math representations: a ratio table tool, a double number line tool, and a tape diagram tool.

- Research each type of representation and explore how to use it. Select one representation to describe to the class.
Solve this problem. Represent it using a double number line or a ratio table.

Three types of nails are for sale:

- It costs 5¢ to buy 3 type A nails.
- It costs 8¢ to buy 6 type B nails.
- It costs 10¢ to buy 8 type C nails.

Which type of nails costs the least per nail?

Jack says:

“The rates are $\frac{3}{5}$ for type A, $\frac{6}{8}$ for type B, and $\frac{8}{10}$ for type C. Type A costs the least per nail." Jack is wrong. Explain his mistake.