Question

After a salmonella outbreak in the state, the average amount of raw milk consumed per person in the state declined at a constant rate of 0.7 gallons per month. After four months, the average raw milk consumption picked up at the same constant rate at which it had declined earlier. Before the outbreak, on average, each person in the state consumed three gallons per month. Match the number of months after the outbreak to the average rate of consumption at that time.

1) 1 month
2) 2 months
3) 3 months
4) 4 months
5) 0.7 gallons per month
6) 1.4 gallons per month
7) 2.1 gallons per month
8) 2.8 gallons per month

Answer 1

After the salmonella outbreak, the average raw milk consumption declined at a constant rate of 0.7 gallons per month. After four months, the decline stopped and the average raw milk consumption picked up at the same constant rate. The matching number of months after the outbreak to the average rate of consumption at that time are: 1 month (2.3 gallons per month), 2 months (1.6 gallons per month), 3 months (0.9 gallons per month), and 4 months (0.2 gallons per month).

Step-by-step explanation:

To match the number of months after the outbreak to the average rate of consumption at that time, we need to consider the given information about the decline and pickup in raw milk consumption:

• After the salmonella outbreak, the average amount of raw milk consumed per person declined at a constant rate of 0.7 gallons per month.
• After four months, the decline stopped and the average raw milk consumption picked up at the same constant rate of 0.7 gallons per month.
• Before the outbreak, each person consumed three gallons of raw milk per month.

Using this information, we can determine the average rate of consumption at different months:

1. 1 month after the outbreak: Average rate of consumption = 3 - (0.7 x 1) = 2.3 gallons per month
2. 2 months after the outbreak: Average rate of consumption = 3 - (0.7 x 2) = 1.6 gallons per month
3. 3 months after the outbreak: Average rate of consumption = 3 - (0.7 x 3) = 0.9 gallons per month
4. 4 months after the outbreak: Average rate of consumption = 3 - (0.7 x 4) = 0.2 gallons per month

Therefore, the matching number of months after the outbreak to the average rate of consumption at that time are:

1. 1 month: 2.3 gallons per month
2. 2 months: 1.6 gallons per month
3. 3 months: 0.9 gallons per month
4. 4 months: 0.2 gallons per month