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?

Answer 1

Answer:

7 minutes

Step-by-step explanation:

If x represents the number of stops, and there are 2 stops after you board, solving g(2) will give you the time it takes to get to school allowing time for x = 2 stops:

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

This gives you, in minutes, that

g(2) = 7

Answer 2

Answer:

7 minutes

Step-by-step explanation:

• start with formula

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

• substitute x with 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/add

16 - 12 = 4

4 + 8 = 12

12 - 5 = 7

input: 2

output: 7

ordered pair: (2,7)