Question

The price of a particular snack at a ballpark seems to affect the number sold in a way such that the product of the number sold and the price in dollars is roughly constant. The table shows some of the data. Price (dollars) Number sold 1.00 2100 1.50 1400 2.00 1050 2.50 840 Is the data linear? Why or why not? a. Yes, it appears on a straight line. c. There is not enough information to determine whether this data is linear. b. No, it does not appear on a straight line. d. Yes, the average rate of change is constant.

Answer 1

The data given does not appear to be linear because the ratios of the number sold to the price are not constant.

Therefore, the correct answer is b). No, it does not appear on a straight line.

Step-by-step explanation:

The data given in the table represents the relationship between the price of a snack and the number sold.

To determine if the data is linear, we can calculate the ratio of the number sold to the price for each data point.

Let's calculate:

1. For the first data point (1.00 dollars, 2100 sold), the ratio is 2100/1.00 = 2100.
2. For the second data point (1.50 dollars, 1400 sold), the ratio is 1400/1.50 = 933.33.
3. For the third data point (2.00 dollars, 1050 sold), the ratio is 1050/2.00 = 525.
4. For the fourth data point (2.50 dollars, 840 sold), the ratio is 840/2.50 = 336.

Since the ratios are not constant, the data is not linear.