Annie learned that on day 1 of the outbreak, there were 105 infected dogs, and on day 2, there were 120 infected dogs. She noticed that each day, 15 more dogs became infected.
Annie used these numbers to set up an alternative model calculating the spread of disease, and wanted to use it to predict when the disease would infect 300 dogs.
According to Annie's alternative model, after how many days will the number of infected dogs reach 300?
300 = 15 d + 105
This problem is an Arithmetic sequence
To find out after how many days the number of infected dogs will reach 300, we can analyze the data given by Annie.
Annie observed that each day, 15 more dogs became infected. We can assume that this rate of infection remains constant.
On day 1, there were 105 infected dogs. On day 2, there were 120 infected dogs. This means that in one day, the number of infected dogs increased by 120 - 105 = 15.
We can use this information to set up a linear equation.
Let's define "n" as the number of days it takes for the number of infected dogs to reach 300.
The equation can be written as follows:
105 + 15n = 300
To solve for n, we first need to isolate "n" on one side of the equation.
105 + 15n - 105 = 300 - 105
15n = 195
Finally, we divide both sides of the equation by 15 to solve for n:
n = 195 / 15
n = 13
Therefore, according to Annie's alternative model, it will take 13 days for the number of infected dogs to reach 300.