Question

A bagel shop sells bagels by the half dozen. The table at the right shows the number of bagels a shop gives per ​"half dozen​" ordered. Write an algebraic expression that gives the rule for finding the number of bagels in any number b of half dozens.

Answer 1

The expression that gives the number of bagels is 6b

Explanation:

* Lets explain how to solve the problem

- A bagel shop sells bagels by the half dozen

- The table shows the number of bagels a shop gives per ​half

dozen​ ordered

- From the table:

# In the 6 half dozens there are 36 bagels

∵ 36 ÷ 6 = 6 bagels

# In the 7 half dozens there are 42 bagels

∵ 42 ÷ 7 = 6 bagels

# In the 8 half dozens there are 48 bagels

∵ 48 ÷ 8 = 6 bagels

- That means every half dozen has 6 bagels

∴ Each half dozen has 6 bagels

∵ There are b half dozens

∵ Each half dozen has 6 bagels

- To find the number of bagels in the b half dozens multiply the

number of bagels in each half dozen by b

∴ The number of bagels = 6 × b = 6b bagels

* The expression that gives the number of bagels is 6b