Question

television the screen of a standard television has a width to height ratio of 4 : 3.
which proportion(s) can be used to find the height of a standard television screen with a width of 15 inches? select all that apply
a) \\(\frac{h}{15} = \frac{4}{3}\\)
b) \\(\frac{15}{h} = \frac{3}{4}\\)
c) \\(\frac{h}{15} = \frac{3}{4}\\)

Explanation:

Step1: Define given ratio

Width : Height = $4:3$, so $\frac{\text{Width}}{\text{Height}} = \frac{4}{3}$

Step2: Substitute known width

Width = 15 inches, Height = $h$. So $\frac{15}{h} = \frac{4}{3}$

Step3: Cross-rearrange proportion

Swap means to get $\frac{h}{15} = \frac{3}{4}$, which matches option C.

Answer:

C) $\frac{h}{15} = \frac{3}{4}$