Question

*Fan & medal*
Use the quadratic model P(x) = 25x^2 - 24x + 615 to predict P(x) if x equals 8.
A. 2203
B. 1672
C. 2023
D. 2677

Answer 1

Please help, I don't know how to do this. ;c

Answer 2

All you have to do is to let x = 8 in the function P(x) = 25x^2 - 24x + 615.

Answer 3

Simplifying
P(x) = 25x2 + -24x + 615

Multiply P * x
xP = 25x2 + -24x + 615

Reorder the terms:
xP = 615 + -24x + 25x2

Solving
xP = 615 + -24x + 25x2

Solving for variable 'x'.

Reorder the terms:
-615 + 24x + xP + -25x2 = 615 + -24x + 25x2 + -615 + 24x + -25x2

Reorder the terms:
-615 + 24x + xP + -25x2 = 615 + -615 + -24x + 24x + 25x2 + -25x2

Combine like terms: 615 + -615 = 0
-615 + 24x + xP + -25x2 = 0 + -24x + 24x + 25x2 + -25x2
-615 + 24x + xP + -25x2 = -24x + 24x + 25x2 + -25x2

Combine like terms: -24x + 24x = 0
-615 + 24x + xP + -25x2 = 0 + 25x2 + -25x2
-615 + 24x + xP + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-615 + 24x + xP + -25x2 = 0

The solution to this equation could not be determined.
i think this is how to solve it

Answer 4

What do you mean by `xP`?

Answer 5

Ok so I just do this? P(x) = 25*8^2 - 24*8 + 615???

Answer 6

If so the answer would be C.2023 right??? I think I did that right, I'm not that good with these kinda problems. :/

Answer 7

Yes. The formula P(x) = 25x^2 - 24x + 615 enables you to predict P(x) for any x in its domain. This is a polynomial function, so you may substitute 8 for x (8 is in the domain). The result is a prediction / estimate for the value of P(x) when x= 8.

Answer 8

Thanks, this helps a ton. I was getting confused on this question.