Conner and Alexandra are 260 feet apart when they start walking toward one another. Alexandra walks twice as fast as Conner so whenever Conner travels x feet, Alexandra travels 2 x feet. Let x represent the number of feet Conner has traveled since he started walking toward Alexandra. Write an expression in terms of x to represent the total number of feet Conner and Alexandra have walked toward one another. 3x Correct Write an expression in terms of x to represent the distance (in feet) between Conner and Alexandra.

i) 3x

ii) d = 260 - 3x

Step-by-step explanation:

Given:

Conner traveled x feet

Alexandra traveled 2x feet

Total distance = 260 ft

i) The expression in terms of x to represent the total number of feet Conner and Alexandra have walked toward one another will be:

This will be the total number of feet they have walked towards one another

= x + 2x

= 3x

ii) An expression in terms of x to represent the distance (in feet) between Conner and Alexandra.

This will be to find the distance between Conner and Alexandra.

Thus, distance between them will be:

d = 260 - (x + 2x)

d = 260 - 3x

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: