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.

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 class=

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Answer:

[tex]\boxed{24}[/tex]

Step-by-step explanation:

Dionne's pattern is represented by the equation


[tex]b=2f+6[/tex]

where [tex]f[/tex] is the figure number of the pattern and [tex]b[/tex] is the number of blocks in each figure.


We want to find the the number of blocks needed to make the [tex]9^{th}[/tex] pattern.


We substitute [tex]f=9[/tex] into the formula to obtain;

[tex]b=2(9)+6[/tex]


[tex]\Rightarrow b=18+6[/tex]


[tex]\Rightarrow b=24[/tex].


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


The number of blocks needed to make the 9th figure in the pattern is 24 and this can be determined by using the given data and arithmetic operations.

Given :

  • Dionne builds a pattern that is represented by the equation b = 2f + 6.
  • f is the figure number of the pattern.
  • b is the number of blocks in each figure.

The following steps can be used to determine the number of blocks needed to make the 9th figure in the pattern:

Step 1 - Write the equation of the pattern that Dionne builds.

[tex]b = 2f+6[/tex]

Step 2 - Now, the number of blocks needed to make the 9th figure in the pattern is:

[tex]b = 2\times 9+ 6[/tex]

b = 18 + 6

b = 24

So, the number of blocks needed to make the 9th figure in the pattern is 24.

For more information, refer to the link given below:

https://brainly.com/question/2096984

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