To find the values of f(x) for x=5, 10, 15, and 20, we can plug the values of x into the quadratic function f(x) = -x^2 + 50x.
For x=5:
f(5) = -5^2 + 50(5)
f(5) = -25 + 250
f(5) = 225
For x=10:
f(10) = -10^2 + 50(10)
f(10) = -100 + 500
f(10) = 400
For x=15:
f(15) = -15^2 + 50(15)
f(15) = -225 + 750
f(15) = 525
For x=20:
f(20) = -20^2 + 50(20)
f(20) = -400 + 1000
f(20) = 600
Therefore, the values of f(x) for x=5, 10, 15, and 20 are:
f(5) = 225
f(10) = 400
f(15) = 525
f(20) = 600
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)=−x^2+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?
x
5
10
15
20
f(x)
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1 answer