Question

Todd is at the grocery store purchasing ingredients for homemade granola. He needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. The total cost of the other ingredients is b dollars. The following expression represents the total amount of money that Todd will spend on all of the granola ingredients. Todd later finds almonds in the bulk section that are half the price of those in the baking section. If he purchases the almonds in the bulk section, which of the following statements are true about the given expression?

Answer 1

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

Explanation:

The question is as shown in the attached figure.

Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx

The total cost of the other ingredients is b dollars.

Hence, total cost is given as = mx+b

Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.

So, now price = m/2

And total price for 'x' ounce = (mx/2 + b) dollars.

So, if Todd purchases the almonds in the bulk section, the total cost will decrease.

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.