X.3 Evaluate two-variable equations: word problems

Question

YJT
This equation shows how the cost of a carpet cleaning is related to the number of rooms cleaned.

c = 61r

The variable r represents the number of rooms cleaned, and the variable c represents the cost. If the carpet cleaner cleaned 1 room, how much would it cost?

Answer 1

To find the cost of cleaning 1 room using the equation \( c = 61r \), we substitute \( r = 1 \) into the equation:

\[ c = 61 \times 1 \]

Calculating this gives:

\[ c = 61 \]

So, if the carpet cleaner cleaned 1 room, it would cost $61.