1. Roger is a wildlife researcher who has been hired to study and track the population of bears in a national park. In Year 1 of the study, Roger determines that the park is home to x bears. In Year 2, the population has increased to x+10 bears, and in Year 3, the population has increased to 2(x+10) bears
c. The total number of bears in the park during Year 3 is 50. Write and solve a linear equation to determine how many bears were in the park during Year 1. Note that this answer will not be the same as the answer you got in part
b.
d. During Year 4, bad weather keeps Roger from finding the exact number of bears in the park. However, he knows that y + 5 > 38 where y is the number of bears in the park during Year 4. Solve the inequality, and give three possible values for y.
c. Since the total number of bears in the park during Year 3 is 50, we can set up the equation 2(x+10) = 50.
Solving for x:
2(x+10) = 50
2x + 20 = 50
2x = 30
x = 15
Therefore, there were 15 bears in the park during Year 1.
d. To solve the inequality y + 5 > 38, we subtract 5 from both sides:
y + 5 > 38
y > 33
Three possible values for y could be:
1. y = 34
2. y = 40
3. y = 50