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13 November, 22:25

Gianna is substituting t = 2 and t = 7 to determine if the two expressions are equivalent.

5 (2 t + 3) 5 t + 25

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  1. 14 November, 00:26
    0
    Both expressions are equivalent to 35 when t=2

    Step-by-step explanation:

    Let's start by substituting with t=7.

    Expression 1:

    5 (2t+3) If we substitute t for 7 we get:

    5 (2 (7) + 3)

    Then we'll multiply inside the parenthesis:

    5 (14+3).

    Then we will add inside the parenthesis:

    5 (17).

    Then multiply and you get: 85

    Expression 2: Let's apply the same steps we used in expression one and apply it to expression 2

    5t+25

    5 (7) + 25

    35+25

    60

    Then compare and we get 60≠80 which is NOT correct. Now let's try our last option: Substituting with t=2.

    Expression 1:

    5 (2t+3)

    5 (2 (2) + 3)

    5 (4+3)

    5 (7)

    35

    Expression 2:

    5t+25

    5 (2) + 25

    10+25

    35

    We can then conclude both expressions are equivalent to 35 when t=2
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