Question

Olivia and Isabella each earn d dollars for each dog she walks. One day, Olivia walks 6 dogs and gets $8 in tips. That same day, Isabella walks 9 dogs and gets $12 in tips.

a. Olivia writes 6d + 8 + 9d + 12 to represent the amount
they earn together. Isabella writes 5(3d + 4). Are their
expressions equivalent? Show your work.

Answer 1

Yes they are equivalent, both equations equals
`15d+20`

Explanation:

We first simplify Olivia's equation

`6d + 8 + 9d + 12`

1. we combine like terms in the equation:
`6d + 8 + 9d + 12`

`6d+9d`

`8+12`

`15d+20`

Now we simplify Isabella's

`5(3d + 4)`

1. we do distributive property

`5*3d`

`5*4`

`15d+20`

If you have any quesitons feel free to ask