Questions: Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 16 per year. A. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 4 day. B. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 4 a day. C. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 44 a day. D. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 4 a day.

Solution Steps

To determine whether the statement makes sense, we need to calculate the daily cost of buying a slice of pizza and a soda if the total annual cost is more than $16. We will assume Brandon buys these items every day and calculate the daily cost by dividing the annual cost by the number of days in a year. Then, we will compare this daily cost to the options provided to see which one aligns with the calculated value.

To find the daily cost of buying a slice of pizza and a soda, we divide the annual cost by the number of days in a year. Given that the annual cost is more than $16, we calculate:

$$\text{daily cost} = \frac{16}{365} \approx 0.04384$$

We compare the calculated daily cost of approximately $0.04384 to the options provided:

• Option A: $4$ per day
• Option B: $4$ per day
• Option C: $44$ per day
• Option D: $4$ per day

The calculated daily cost of $0.04384 is significantly less than any of the options provided, which suggests that the statement does not make sense.

Final Answer