Circle any equivalent ratios from the list below.

ratio: 1: 2
ratio: 5: 10
ratio: 6: 16
ratio: 12: 32

find the value of the following ratios, leaving your answer as a fraction, but rewrite the fraction using the largest possible unit.

ratio: 1: 2 value of the ratio:
ratio: 5: 10 value of the ratio:
ratio: 6: 16 value of the ratio:
ratio: 12: 32 value of the ratio:

what do you notice about the value of the equivalent ratios?

Equivalent ratios: we can that the first ratio is equivalent to the second,  then third ratio is equivalent to the forth.  

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

Equivalent ratios:

To get if ratios are equivalent we look for the constant between ratios

a.Ratio: 1: 2  and Ratio: 5: 10  

We apply the method of comparing the first term of both ratios ,  and the second term of both ratios.  We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

Ratio: 6: 16 compare to Ratio: 12: 32

6/12 is equal to 16/32 the constant is 2

So,  we can that the first ratio is equivalent to the second,  then, third ratio is equivalent to the forth.  

Value of the Ratio:  The value is a ratio written as a fraction.

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  5/10 if we divide both sides by 5,  we can say  Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  6/16 if we divide both sides by 2,  we can say the value is 3/ 8

Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4,  we can say the value is 3/ 8

If the values are equivalent the ratios are equivalent.

Equivalent ratios: we can that the first ratio is equivalent to the second,  then third ratio is equivalent to the forth.  

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5: 10 Value of the Ratio:  1/2

Ratio: 6: 16 Value of the Ratio:  3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

a.Ratio: 1: 2  and Ratio: 5: 10  

We apply the method of comparing the first term of both ratios ,  and the second term of both ratios.  We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

Ratio: 6: 16 compare to Ratio: 12: 32

6/12 is equal to 16/32 the constant is 2

So,  we can that the first ratio is equivalent to the second,  then, third ratio is equivalent to the forth.  

Ratio: 1: 2 Value of the Ratio:  1/2

Ratio: 5/10 if we divide both sides by 5,  we can say  Value of the Ratio:  1/2

Ratio:  6/16 if we divide both sides by 2,  we can say the value is 3/ 8

Ratio: 12/32 if we divide both sides by 4,  we can say the value is 3/ 8

If the values are equivalent the ratios are equivalent.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.