ATwo quantities are proportional if all ratios that relate the quantities are equal.
BTwo quantities are proportional if all ratios that relate the quantities are equal. Begin by finding the ratio and then use it to solve the given problem.
AYes, see solution.
B4/1=x/8, x=12
Practice makes perfect
Recall that two quantities are proportional if all ratios that relate the quantities are equal. Keeping this in mind, let's take a look at the given table.
Side Length (cm)
2
4
6
Perimeter (cm)
8
16
24
Perimeter (cm)/Side Length (cm)
8/2=4/1
16/4=4/1
24/6=4/1
Because the ratios are the same between each pair of quantities, we know that the relationship is proportional.
In Part B, we want to write and solve a proportion to find the perimeter of a square when its side length is 12. To do so, we will use this ratio we found in the previous part. Let's use x to represent the perimeter we want to find. Let's take a look at the proportion that can help us solve this problem.
4/1=x/8
Finally, let's solve this equation for x.
