This table shows the prices of the three TVs in addition to their length and width. Is the price of a TV proportional to the length of its screen? How do you know?

Question

Legnth(inches) Width(inches) Prices

16 9 $160

20 11.25 $180

24 13.50 $200

Answer 1

Answer: No

The length and price of the TV's can be written as ratios such as 16:160 , 20:180 , and 24:200

Write each ratio as a fraction 16/160 , 20/180 , 24/200

Reduce each fraction, 16/160 is simplified down to 1/10

20/180 = 1/9

24/200 = 3/25

None of the fractions reduce to the same fraction, therefore the lengths are not proportional to the prices of the TVs or they would be the same value.