Question

Lauren took a total of 15 quizzes over the course of 3 weeks. After attending 4 weeks of school this quarter, how many quizzes will Lauren have taken in total? Assume the relationship is directly proportional.

Answer 1

.

Given

area of the pillow = 144sq inchs

$No.\text{ of ribbon}=\text{ 4.}\sqrt{144}$

Area of square = L X L

$\begin{gathered} Area=L^2 \\ 144=L^2 \\ \\ L=\sqrt{144} \\ \\ L=12m \end{gathered}$

Therefore,

$\begin{gathered} No.\text{ of ribbons = 4}\times12 \\ No.\text{ of ribbons = 48ribbons} \end{gathered}$

Therefore, Number of ribbons = 48ribbons

Let's call the amount of quizzes Lauren will take in total as x.

Since the relationship is directly proportional, the ratio between quizzes and weeks should stay the same for different amount of weeks. This statement gives to us the following equation

$\frac{15}{3}=\frac{x}{4}$

Solving for x, we have

$\begin{gathered} \frac{15}{3}=\frac{x}{4} \\ 3\times x=15\times4 \\ 3x=60 \\ x=\frac{60}{3} \\ x=20 \end{gathered}$

After attending 4 weeks of school this quarter, Lauren will take in total 20 quizzes.