Question

Erica walked down a trail into a valley.

V(d)V(d)V, left parenthesis, d, right parenthesis models Erica's vertical distance from the top of the valley (in kilometers) after walking ddd kilometers along the trail.

What does the statement V(2)=TV(2)=TV, left parenthesis, 2, right parenthesis, equals, T mean?

Answer 1

After she had walked

2 km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometers

Explanation:

Remember that

�

(

�

)

V(d)V, left parenthesis, d, right parenthesis denotes Erica's vertical distance from the top of the valley

�

VV after she has walked

�

dd kilometers along the trail.

This means that

�

(

2

)

V(2)V, left parenthesis, 2, right parenthesis is Erica's vertical distance from the top of the valley after she has walked

2

km

2 km2, start text, space, k, m, end text.

Hint #22 / 2

Therefore,

�

(

2

)

=

�

V(2)=TV, left parenthesis, 2, right parenthesis, equals, T means that Erica's vertical distance from the top of the valley after she has walked

2

km

2 km2, start text, space, k, m, end text is equal to

�

TT kilometers.

In other words, the statement means that after she had walked

2

km

2 km2, start text, space, k, m, end text along the trail, Erica's vertical distance from the top of the valley was equal to

�

TT kilometers.

Answer 2

Erica's vertical distance from the top of the valley (in kilometers) after walking 2 kilometers along the trail is T.

Explanation:

It is given that V(d) models Erica's vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail.

We need to find the meaning of V(2)=T.

On comparing V(d) and V(2), we get d=2.

Since V(d) models Erica's vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail, therefore V(2) models Erica's vertical distance from the top of the valley (in kilometers) after walking 2 kilometers along the trail.

`V(2)=T`

It means Erica's vertical distance from the top of the valley (in kilometers) after walking 2 kilometers along the trail is T.