Question

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. PLS HELP WORTH 50 POINTS!!!!!

Length (cm) Width (cm)
6 ?
9 36
? 48
15 ?

Answer 1

i think they were multiplying each by 4. so 6x4 would be 24. and 12x4 = 48, then 15x4= 60. so i believe the blanks are 24,12,60.

Answer 2

x y

6 24

9 36

12 48

15 60

Explanation:

We need to find the rate of change in the table.

Lets start with the x-values.

6 to 9?

9 - 6 = 3

So, the rate of change in the x-value is 3

9 to 3 is 12

12 to 3 is 15

Now let's go onto the y-values.

We don't know the first number, so let's move to the next number, 36.

36 to 48?

48 - 36 = 12

Therefore, the rate of change in the y-value is 12

So, let's work backwards to find the first number.

36 - 12 = 24

48 + 12 = 60

Another easier way you could do it (really simple).

9 times what is 36?

9 x 4 = 36, right?

So, the change of rate is 4

So multiply everything in the x column by 4.

6 x 4 = 24

15 x 4 = 60

Since we don't have one the x value for 48, divide it by 4 which is 12

Voilà ;)