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Which is an equivalent way to express 3y? a. y^3b. 3+yc. y+y+yd. y. y. y

1 Answer

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We need to find the expression that is equivalent to:


3y

Let's analyze our options:

Option a:


y^3

in this option, we have that 3 is an exponent, which is different from what we are looking for because, in 3y, the 3 is the coefficient of the expression, not the exponent. Thus, option a is discarded.

Option b:


3+y

In this case, the 3 and the "y" are separate terms, and since 3 is a number and "y" is a variable, we cannot add them because they are not like terms. So 3+y is not equal to 3y.

Option c:


y+y+y

In this option, all of the terms are variables (all of the terms are "y") which means in this case, unlike the last case, we can add the terms:


y+y+y=3y

Thus, this is the correct option because y+y+y is equal to 3y.

Answer:

c. y+y+y

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