Calculate [tex]\( v \)[/tex] for [tex]\( t = 10 \)[/tex].

[tex]\[ v = 2.5t - 3 \][/tex]

A. [tex]\( v = -0.5 \)[/tex]
B. [tex]\( v = 9.5 \)[/tex]
C. [tex]\( v = 22 \)[/tex]
D. [tex]\( v = 28 \)[/tex]



Answer :

To solve for the values of [tex]\( v \)[/tex] given the equation and specific values:

1. Calculate [tex]\( v \)[/tex] when [tex]\( t = 10 \)[/tex] for the first equation:
[tex]\[ v = 2.5t - 3 \][/tex]
Substitute [tex]\( t = 10 \)[/tex] into the equation:
[tex]\[ v = 2.5 \times 10 - 3 \][/tex]
Simplify the equation:
[tex]\[ v = 25 - 3 = 22.0 \][/tex]

2. Next value of [tex]\( v \)[/tex]:
This is given directly as
[tex]\[ v = -0.5 \][/tex]

3. Next value of [tex]\( v \)[/tex]:
This is given directly as
[tex]\[ v = 9.5 \][/tex]

4. Next value of [tex]\( v \)[/tex]:
This is given directly as
[tex]\[ v = 22 \][/tex]

5. Last value of [tex]\( v \)[/tex]:
This is given directly as
[tex]\[ v = 28 \][/tex]

Gathering all the values together, we have:
[tex]\[ v = (22.0, -0.5, 9.5, 22, 28) \][/tex]

These are the values calculated for [tex]\( v \)[/tex] given [tex]\( t = 10 \)[/tex] and the provided specific values.