Two quantities are proportional if all ratios that relate the quantities are equal.
B
Two 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.
A
Yes, see solution.
B
4/1=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.
