Question

Select the correct answer.
Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers.
Which equation represents this direct variation?

Answer 1

The answer is B) y= 7/4x

This is because when you graph it you would go up 7 and over 4- you just had to find the rise over run. I also just made sure it was correct on edmentum!

Answer 2

Caroline is planting her first 7 flowers in 4 minutes and then past 12 minutes, she plants 21 different flowers. That suggests that she is planting the flowers following the given equation  y=(7/4)x.

What is dependant variable?

The dependent variable is defined as the variable whose evaluation of the independent variable determines the quality of the dependent variable. That is, it is consistently claimed that the word variable's estimate depends on the mathematical condition's free variable.

How to solve it?

Let Caroline plant y flowers in x minutes.

By using the unitary method we can observe that

4 minutes  → 7 flowers

⇒ 1 minute → 7/4 flowers

⇒ x minutes → (7/4)x flowers

Hence, Caroline is planting y=(7/4)x flowers in x minutes. And y=(7/4)x this equation represents the variation perfectly.

NOTE: We took the number of flowers planted as y because it is a dependent variable. The number of flowers depends on the time elapsed.

Learn more about the unitary method here-

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