Question

Substitute t = 3 and t = 6 to determine if the two expressions are equivalent.

3 (2 t + 5) 6 t + 15

Which statements are true? Select the three correct answers.
A. The value of both expressions when t = 3 is 33.
B. The value of both expressions when t = 3 is 23.
C. The value of both expressions when t = 6 is 41.
D. The value of both expressions when t = 6 is 51.
E. The two expressions are equivalent.
F. The two expressions are not equivalent.

Answer 1

A.The value of both expressions when t=3 is 33.

D.The value of both expressions when t=6 is 51.

E.The two expressions are equivalent.

Explanation:

We are given two expressions.

3(2t + 5)

6t + 15

Now let's find the value of these two expressions when t =3 and t = 6

When t =3, the value of the expressions:

3(2*3 + 5) = 3(6 + 5) = 3(11) = 33

6*3 + 15 = 18 + 15 = 33

So the value of both the expressions is 33 when t = 33.

When t = 6, the value of the expressions:

3(2*6 + 5) = 3(12 + 5) = 3(17) = 51

6*6 + 15 = 36 + 15 = 51

The value of both the expressions is 51 when t = 51.

So the following statements are true:

A.The value of both expressions when t=3 is 33.

D.The value of both expressions when t=6 is 51.

E.The two expressions are equivalent.