Question

Jasmine started a dog walking business in her community. She offers a basic walk service and a deluxe service that includes a trip to the dog park. The expressions in the table represent the number of each type of service she sold over a period of w weeks.

service cost #sold
Basic Walk $3 7(w + 3)
Deluxe Walk $8 3w+5
Write an expression that represents the difference between the number of basic walks and deluxe walks sold. Write your answer in factored form.​

Answer 1

Explanation:

o represent the difference between the number of basic walks and deluxe walks sold, you can subtract the number of deluxe walks from the number of basic walks. Given the expressions:

Number of basic walks sold = 7(w + 3)

Number of deluxe walks sold = 3w + 5

The difference can be expressed as:

7(w + 3) - (3w + 5)

To factor this expression, you can distribute the negative sign and then simplify:

7w + 21 - 3w - 5

Now, combine like terms:

(7w - 3w) + (21 - 5)

4w + 16

So, the factored expression that represents the difference between the number of basic walks and deluxe walks sold is 4w + 16.

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