Question

Kendrick is painting rocks with acrylic paint. He needs a certain amount of paint for each rock.

There is a linear relationship between the number of rocks Kendrick paints and the amount of paint he uses, in ounces.

Answer 1

To describe the linear relationship between the number of rocks Kendrick paints (let's denote this as \( r \)) and the amount of paint he uses (denoted as \( p \) in ounces), we can use the formula for a linear equation:

\[
p = mr + b
\]

Where:
- \( p \) is the amount of paint used (in ounces),
- \( r \) is the number of rocks painted,
- \( m \) is the slope of the line, which represents the amount of paint used per rock,
- \( b \) is the y-intercept, which is the amount of paint used when no rocks are painted (in this case, it would typically be zero).

If Kendrick uses a specific amount of paint per rock, we would set the slope \( m \) to that value. For example, if Kendrick uses 2 ounces of paint per rock, the equation would look like:

\[
p = 2r
\]

In this case, if Kendrick paints 5 rocks, he would use:

\[
p = 2(5) = 10 \text{ ounces of paint}
\]

If you provide specific values for the amount of paint used per rock or any other specific details, the equation can be adjusted accordingly!