Question

Devin and Karissa are 210 feet apart when they start walking toward one another. They are walking at the same speed, so whenever Devin travels some number of feet, Karissa travels the same number of feet. Let x represent the number of feet each of them traveled.a. Write an expression in terms of x to represent the total number of feet Devin and Karissa have walked toward one another.b. Write an expression in terms of x to represent the distance (in feet) between Devin and Karissa.

Answer 1

In summary, the expression for the total distance Devin and Karissa have walked toward one another is 2x feet, and the expression for the remaining distance between them after walking is 210 - 2x feet.

Step-by-step explanation:

Let x represent the number of feet each of Devin and Karissa traveled:

1. Expression for total distance: Since both Devin and Karissa walked towards each other at the same speed, the total distance they walked combined would be 2x feet.
2. Expression for remaining distance between them: The initial distance between them is 210 feet. To find the distance that remains between them after they each travel x feet, we subtract the total distance they traveled (which is 2x) from the initial distance (210 feet). Therefore, the expression for the remaining distance between them is 210 - 2x feet.

Answer 2

a)
`2x`

b)
`210-2x`

Step-by-step explanation:

Total distance between Devin and Karissa is 210 feet

Let x be the distance traveled by Devin towards karissa

We are given that Karissa travels the same number of feet.

Total distance traveled by Devin and Karissa =
`x+x`

=
`2x`

So,an expression in terms of x to represent the total number of feet Devin and Karissa have walked toward one another is
`2x`

Remaining distance = Total distance - Distance traveled

=
`210-2x`

So,an expression in terms of x to represent the distance (in feet) between Devin and Karissa is
`210-2x`