The Jacobsens are planning to build a house in a new development. They can either build the base model offered by the builder or add any of the following options: deck, hot tub, security system, or hardwood flooring. How many different variations are possible

The different variations that is possible are :

-16 ways

Number of available options other than the base model = 4.

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)= 4C0 + 4C1 +

4C2 + 4C3 + 4C4

Learn more about "Combination":

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16 ways

Step-by-step explanation:

Number of available options other than the base model = 4

Hence ;

Jacobsen can choose :

Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)

4C0 + 4C1 + 4C2 + 4C3 + 4C4

Recall:

nCr = n! / (n-r)!r!

Using calculator :

4C0 + 4C1 + 4C2 + 4C3 + 4C4

1 + 4 + 6 + 4 + 1

= 16 ways

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.