Every spring, Robert plants colorful flowers in his garden. This year, he decides to plant petunias. He buys them at the garden store, brings them back home, and starts planting. There is a proportional relationship between the amount of time (in minutes) Robert has been working in his garden, x, and the number of petunias he has planted, y.
The equation that models this relationship is y=3x.
How long does it take Robert to plant 18 petunias? Write your answer as a whole number or decimal.

The equation given is \( y = 3x \), where:
- \( y \) is the number of petunias planted,
- \( x \) is the time (in minutes) Robert has been working.

To find how long it takes Robert to plant 18 petunias, substitute \( y = 18 \) into the equation and solve for \( x \).

\[
18 = 3x
\]

Now, solve for \( x \):

\[
x = \frac{18}{3} = 6
\]

Therefore, it takes Robert 6 minutes to plant 18 petunias.

Would you like more details, or have any questions? Here are 5 related questions to extend the understanding:

1. How many petunias can Robert plant in 10 minutes?
2. If Robert plants 36 petunias, how much time does it take him?
3. How would the equation change if Robert planted 4 petunias per minute?
4. What is the unit rate of planting petunias, and how is it represented in the equation?
5. How could you graph this proportional relationship?

**Tip**: In proportional relationships, the constant of proportionality (here, 3) represents the rate at which one quantity changes with respect to another.

Every spring, Robert plants colorful flowers in his garden. This year, he decides to plant petunias. He buys them at the garden store, brings them back home, and starts planting. There is a proportional relationship between the amount of time (in minutes) Robert has been working in his garden, x, and the number of petunias he has planted, y. The equation that models this relationship is y=3x. How long does it take Robert to plant 18 petunias? Write your answer as a whole number or decimal.

Discover how to solve the proportional relationship y = 3x to determine how long it takes Robert to plant 18 petunias. This algebra problem is perfect for Grades 6-8 and covers the concept of proportionality and linear equations.

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