X.3 Evaluate two-variable equations: word problems

Question

YJT
This equation shows how the total cost of visiting the history museum as a member is related to the number of visits.

c = 2v

The variable v represents the number of visits to the history museum, and the variable c represents the total cost of those visits. For a member of the history museum, what is the total cost of 3 visits?

Answer 1

To calculate the total cost \( c \) for a member of the history museum for \( v \) visits, you can use the equation:

\[ c = 2v \]

In this case, you want to find the total cost for \( v = 3 \) visits.

Substituting \( v = 3 \) into the equation:

\[ c = 2 \times 3 \]

Calculating this gives:

\[ c = 6 \]

Therefore, the total cost of 3 visits to the history museum for a member is $6.