A developer is creating a plan for a 44-acre park that includes a 4-acre lake that cannot be developed. If 8 to 10 acres, inclusive, must be reserved for soccer fields, which of the following inequalities shows all possible values for p, the amount of land that within the park that is available for development?
A. 26 ≤ p ≤ 40
B. 30 ≤ p ≤ 32
C. 34 ≤ p ≤ 36
D. 36 ≤ p ≤ 40
Answer:B
A developer is creating a plan for a 44-acre park that includes a 4-acre lake that cannot be developed. If 8 to 10 acres, inclusive, must be reserved for soccer fields, which of the following inequalities shows all possible values for p, the amount of land that within the park that is available for development?
A. 26 ≤ p ≤ 40 B. 30 ≤ p ≤ 32 C. 34 ≤ p ≤ 36 D. 36 ≤ p ≤ 40
Explanation: B In order to find the undeveloped area, take the entire area of the park and subtract the area of the developed portions. Subtract the 4 acre lake to get 44 - 4 = 40 undeveloped acres. Next, subtract the largest and smallest possible soccer field area: 40 - 10 = 30, and 40 - 8 = 32. Therefore, the correct answer is (B).