Question

Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number of the pattern and b is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern? Enter your answer in the box.

Answer 1

Answer:

$\boxed{24}$

Step-by-step explanation:

Dionne's pattern is represented by the equation

$b=2f+6$

where $f$ is the figure number of the pattern and $b$ is the number of blocks in each figure.

We want to find the the number of blocks needed to make the $9^{th}$ pattern.

We substitute $f=9$ into the formula to obtain;

$b=2(9)+6$

$\Rightarrow b=18+6$

$\Rightarrow b=24$.

Therefore 24 blocks are needed to make the 9th figure in the pattern.