To determine how long it takes to get to school if the bus makes 2 stops after you board, we need to evaluate the function \( g(x) = x^4 - 3x^2 + 4x - 5 \) at \( x = 2 \).
We'll substitute \( x = 2 \) into the function and compute the value:
\[ g(2) = (2)^4 - 3(2)^2 + 4(2) - 5 \]
First, calculate each term separately:
\[ (2)^4 = 16 \]
\[ 3(2)^2 = 3(4) = 12 \]
\[ 4(2) = 8 \]
Next, substitute these values back into the equation:
\[ g(2) = 16 - 12 + 8 - 5 \]
Now perform the arithmetic:
\[ g(2) = 16 - 12 = 4 \]
\[ g(2) = 4 + 8 = 12 \]
\[ g(2) = 12 - 5 = 7 \]
So, the time it takes to get to school if the bus makes 2 stops after you board is \( 7 \) minutes.
The correct answer is:
\[ \text{7 minutes} \]
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
1 answer