Question

station 15
a) what is the ratio of axes on the coordinate plane (both x - axis and y - axis) to quadrants? simplify the ratio. hint: there are ____ axes for every 4 quadrants.
b) if there are 5 coordinate planes on a page, how many axes are on the page?

Explanation:

Part A

Step1: Identify number of axes and quadrants

A coordinate plane has 2 axes (x - axis and y - axis) and 4 quadrants.

Step2: Form the ratio

The ratio of axes to quadrants is \( \frac{2}{4} \).

Step3: Simplify the ratio

Simplify \( \frac{2}{4} \) by dividing numerator and denominator by their greatest common divisor, which is 2. So \( \frac{2\div2}{4\div2}=\frac{1}{2} \).

Step1: Recall axes per coordinate plane

Each coordinate plane has 2 axes (x - axis and y - axis).

Step2: Calculate total axes for 5 planes

If there are 5 coordinate planes, the total number of axes is \( 5\times2 = 10 \).

Answer:

The ratio is \( \frac{1}{2} \) (or 1:2)

Part B