To predict the height of the plant after 12 weeks using the given function [tex]\( h(t) = 1.5t + 3 \)[/tex], we will follow these steps:
1. Identify the given function: [tex]\( h(t) = 1.5t + 3 \)[/tex].
2. Determine the value of [tex]\( t \)[/tex] which represents the time in weeks. Here, we need to find the height of the plant after 12 weeks, so [tex]\( t = 12 \)[/tex].
3. Substitute [tex]\( t = 12 \)[/tex] into the function to find [tex]\( h(12) \)[/tex].
Let's substitute [tex]\( t = 12 \)[/tex] into the function:
[tex]\[ h(12) = 1.5 \times 12 + 3 \][/tex]
First, we calculate [tex]\( 1.5 \times 12 \)[/tex]:
[tex]\[ 1.5 \times 12 = 18 \][/tex]
Next, add 3 to this result:
[tex]\[ 18 + 3 = 21 \][/tex]
Therefore, based on the model, the height of the plant after 12 weeks is:
[tex]\[ h(12) = 21 \][/tex] inches
So, the best prediction for the height of the plant after 12 weeks is:
B. 21 Inches
