Question

Higher Order Thinking A grocery store has a 13%-off sale on all bread. You decide to purchase 6 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 6(b-0.13b). Once the expression is expanded, what do the terms represent?

a. Original price of 6 loaves of bread
b. Discount on 6 loaves of bread
c. Final price of 6 loaves of bread after the discount
d. Total cost of 6 loaves of bread after the discount

Answer 1

To expand the expression 6(b-0.13b), you distribute the 6 to form 6b - 0.78b. The term 6b represents the original price of 6 loaves of bread, and 0.78b is the discount. The final price after the discount is 5.22b, which is the total cost for 6 loaves.

Step-by-step explanation:

To expand the expression 6(b-0.13b), you distribute the 6 to both terms inside the parentheses:

6(b) - 6(0.13b) = 6b - 0.78b

This results in two terms:

1. 6b represents the original price of 6 loaves of bread.
2. 0.78b (0.13 multiplied by 6) represents the discount on 6 loaves of bread.

To find the final price of the 6 loaves after the discount, you subtract the discount from the original price:

Original price of 6 loaves - Discount = 6b - 0.78b = 5.22b

So, 5.22b represents the total cost of the 6 loaves of bread after the discount.