Jackie has 50 feet of fencing that he can use to make a small rectangular pen for his llamas in his backyard. He is trying to decide how long to make the pen. The quadratic function f(x)=−x2+50x gives the area of the pen, in square feet, when he makes it x feet long. What are the values of f(x) in the table below? (4 points) x f(x) 5 10 15 20

Question

Jackie has 50 feet of fencing that he can use to make a small rectangular pen for his llamas in his backyard. He is trying to decide how long to make the pen. The quadratic function f(x)=−x2+50x gives the area of the pen, in square feet, when he makes it x feet long. What are the values of f(x) in the table below? (4 points) x f(x) 5 10 15 20

Answer 1

To find the values of f(x) for each x, we need to plug in the given values into the quadratic function f(x)=-x^2+50x.

1. When x = 5:
f(5) = -5^2 + 50*5
f(5) = -25 + 250
f(5) = 225

2. When x = 10:
f(10) = -10^2 + 50*10
f(10) = -100 + 500
f(10) = 400

3. When x = 15:
f(15) = -15^2 + 50*15
f(15) = -225 + 750
f(15) = 525

4. When x = 20:
f(20) = -20^2 + 50*20
f(20) = -400 + 1000
f(20) = 600

Therefore, the values of f(x) for each x in the table are:
x f(x)
5 225
10 400
15 525
20 600