Question

candita uses \\(\frac{1}{4}\\) of an ounce of green paint each time she draws a green line on her painting. she draws a total of 7 green lines. which expression represents the amount of green paint that candita used drawing green lines on the painting? check all that apply.\\(\square \frac{1}{4}\\)\\(\square \frac{1}{4} + \frac{1}{4}\\)\\(\square \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4}\\)\\(\square \frac{7}{4}\\)\\(\square \frac{7}{4} + \frac{7}{4} + \frac{7}{4} + \frac{7}{4}\\)

Explanation:

Step1: Understand the problem

Candita uses $\frac{1}{4}$ ounce per green line, and she draws 7 green lines. So we need to find the total paint used, which can be represented by adding $\frac{1}{4}$ seven times or multiplying 7 by $\frac{1}{4}$.

Step2: Analyze each option

• Option 1: $\frac{1}{4}$ is just the amount for one line, not total. So incorrect.
• Option 2: $\frac{1}{4}+\frac{1}{4}$ is for two lines, not seven. Incorrect.
• Option 3: $\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$ is adding $\frac{1}{4}$ seven times, which represents the total for 7 lines. Correct.
• Option 4: $7\times\frac{1}{4}=\frac{7}{4}$, so $\frac{7}{4}$ is equivalent to the total. Correct.
• Option 5: $\frac{7}{4}+\frac{7}{4}+\frac{7}{4}+\frac{7}{4}$ is adding $\frac{7}{4}$ four times, which is not related to 7 lines of $\frac{1}{4}$ each. Incorrect.

Answer:

$\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$, $\frac{7}{4}$