Question

You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school, measured in minutes, is modeled using the function g(x) = x4 − 3x2 + 4x − 5, where x is the number of stops the bus makes. If the bus makes 2 stops after you board, how long does it take you to get to school?

1 minute
3 minutes
7 minutes
11 minutes

Answer 1

7 minutes

Explanation:

Start with a formula-

g(x) = x^4 - 3x^2 + 4x - 5

Substitute x with the number of stops (2)

g(2) = 2^4 - 3(2^2) + 4(2) - 5

Simplify using p.e.m.d.a.s (start with exponents)

g(2) = 16 - 3(4) + 4(2) - 5

Multiply

g(2) = 16 - 12 + 8 - 5

Subtract or Add

16 - 12 = 4

4 + 8 = 12

12 - 5 = 7

input: 2

output: 7

ordered pair: (2,7)

Hopefully, this helps!