Six grocery items have the following prices: \( \$ 7.85, \$ 7.86, \$ 0.95, \$ 5.09, \$ 9.61 \), and \( \$ 3.79 \). (a) Estimate the total cost of the six items by rounding each price to the nearest dollar, then adding. (b) If you have \( \$ 40 \), and decide not to buy the last item, approximately how much change will you receive? (a) The total cost of the grocery items is approximately \( \$ \square \). (Type a whole number.)

To estimate the total cost of the six items, we round each price to the nearest dollar: - \( \$ 7.85 \) rounds to \( \$ 8 \) - \( \$ 7.86 \) rounds to \( \$ 8 \) - \( \$ 0.95 \) rounds to \( \$ 1 \) - \( \$ 5.09 \) rounds to \( \$ 5 \) - \( \$ 9.61 \) rounds to \( \$ 10 \) - \( \$ 3.79 \) rounds to \( \$ 4 \) Now, we add these rounded values: \( 8 + 8 + 1 + 5 + 10 + 4 = 36 \) So, the total cost of the grocery items is approximately \( \$ 36 \). (b) If you decide not to buy the last item, which costs \( \$ 3.79 \), your total expenses would be: Total cost without the last item: \( 36 - 4 = 32 \) (using the rounded value for \( \$ 3.79 \)). If you have \( \$ 40 \): Change received = \( 40 - 32 = 8 \). Thus, you will receive approximately \( \$ 8 \) in change.