Question

rhea is writing a paper, and she notices that she can write 1.5 pages every 2 hours. she has been writing for 3 hours so far, and she thinks she has finished $\frac{1}{4}$ of the paper.

which equation will help her find the number of pages the paper has, $x$?

$\frac{1.5}{2} cdot 3 = 4x$
$(1.5 cdot 2) cdot 3 = 4x$
$(1.5 cdot 2) cdot 3 = \frac{1}{4}x$
$\frac{1.5}{2} cdot 3 = \frac{1}{4}x$

Explanation:

Step1: Calculate writing rate

Rate = $\frac{1.5}{2}$ pages per hour

Step2: Find pages written in 3h

Pages written = $\frac{1.5}{2} \cdot 3$

Step3: Relate to total pages $x$

Pages written = $\frac{1}{4}x$, so $\frac{1.5}{2} \cdot 3 = \frac{1}{4}x$

Answer:

$\frac{1.5}{2} \cdot 3 = \frac{1}{4}x$ (the fourth option)