Question

Nicky and Marta Nicky thinks that you can get two different answers when finding the tax on multiple items. First: Find the cost of each item with the tax. Then add to find the total price. For exam ($9 + tax) + ($7 + tax) + ($4 + tax) + ($4 + tax) = one total price Second: Add up the prices of each individual item. Then find the tax and total. She thinks that these two strategies will give you two different results. $9 + $7 + $4 + $4 amount for all the items amount for all the items + tax = a different total price Marta disagrees with Nicky. She claims the answers are the same because of the Distributive Property. Who is correct? Explain

Answer 1

Answer: Marta is correct.

Step-by-step explanation: Nicky and Marta are discussing two different methods of calculating the total cost of multiple items with tax. Nicky’s method involves finding the cost of each item with tax and then adding them together to find the total price. Marta’s method involves adding up the prices of each individual item and then finding the tax and total. Nicky believes that these two methods will give different results, while Marta disagrees.

Marta is correct. The Distributive Property states that a(b + c) = ab + ac, which means that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding the products together. In this case, we can apply the Distributive Property to find that:

($9 + tax) + ($7 + tax) + ($4 + tax) + ($4 + tax) = $9 + $7 + $4 + $4 + 4tax = $24 + 4tax

Alternatively, we can use Marta’s method to find the total cost of all items before tax and then add the tax. This gives us:

$9 + $7 + $4 + $4 = $24 $24 * (1 + tax rate) = $24 + 24tax

Both methods give us the same result for the total cost with tax, but Marta’s method is more efficient because it requires only one multiplication instead of four.

Hope this help yall

bye slay