Question

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

5(2t+3) 5t+25
Which statement is true?
A. Both expressions are equivalent to 35 when t=2.
B. Both expressions are equivalent to 85 when t=7
C. Both expressions are equivalent to 60 when t=7
D. The expressions are equivalent.
PLEASE HELP!!!!

Answer 1

Answer: A. Both expressions are equivalent to 35 when t=2.

Explanation:

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

At t=2

`5(2t+3)=5(2(2)+3)=5(4+3)=5(7)=35`

`5t+25=5(2)+25=10+25=35`

Therefore, both expressions are equivalent to 35 when t=2.

At t=7

`5(2t+3)=5(2(7)+3)=5(14+3)=5(17)=85`

`5t+25=5(7)+25=35+25=60`

Hence, A is the write option.