Question

Christine and Joshua work two different mail routes. Christine‘s mail route starts at the mail office and goes through Park Grove to Norton Point. Joshua’s route goes directly from the mail office to Norton Point. The figure below shows the distances they cover on their routes.



Which simplified expression can be used to find the difference in the number of miles between Christine’s route and Joshua’s route?

( Look at picture )

answer choices:
7x - 2

11x + 16

7x + 2

11x + 2

Answer 1

http://assets.openstudy.com/updates/attachments/50119f41e4b08ffc0ef3d791-reemxoxo-1343332178939-math.jpg

Answer 2

@Hero @ash2326 @Callisto @Data_LG2 help?

Answer 3

What is the distance Christine has covered?

Answer 4

from the mail office to park grove to northern point

Answer 5

since Christine‘s mail route starts at the mail office and goes through Park Grove to Norton Point: (3x+9) + (6x)
and Joshua’s route goes directly from the mail office to Norton Point: (2x+7)
and you are looking for the difference in the number of miles between Christine’s route and Joshua’s route:
so it will be : (3x+9) + (6x) - (2x+7)

Answer 6

From the mail office to park grove, the distance is (3x+9) miles. From park grove to northern point, the distance is (6x) miles. So, what is the total distance Christine travels?

Answer 7

@Data_LG2 doesnt it need to be simplified further

@Callisto (3x+9)(6x) ... right?

Answer 8

yes, but i think you can continue it..

Answer 9

Nope, you do addition.

Answer 10

If you add something, say 10, for 5 times, you multiply 10 by 5. Now, you just need to add the two distances together to find the total distance Christine travels.

Answer 11

7x+16?

Answer 12

is the answer?

Answer 13

I don't think so. Please check your calculations again.

Answer 14

11x+2

Answer 15

@Callisto ?

Answer 16

Nope.

Answer 17

can you teach me step by step pls? @Callisto

Answer 18

First calculate the distance Christine travels.

Answer 19

(3x+9) + (6x)

Answer 20

and then?

Answer 21

@Callisto

Answer 22

@Callisto are you still there?

Answer 23

Then, simplify it first.

Answer 24

9x + 9

Answer 25

now?

Answer 26

@Callisto

Answer 27

What is the distance that Joshua travels?

Answer 28

(2x+7)

Answer 29

Now, find the difference between distance of Christine's route and Joshua's route. that is the different between (9x+9) and (2x+7)

Answer 30

7x + 2 is the answer?

Answer 31

Yes.

Answer 32

WOOOO! WE DID IT! thanks @Callisto !

Answer 33

Welcome :)