Question

The ratio of cups of blue paint to cups of red paint is 1: 2, which means for every cup of blue paint, there are two cups of red paint. In this case, the equation would be red = 2 × blue, or rr = 2bb, where bb represents the amount of blue paint and rr represents the amount of red paint. Make a table of values.

Answer 1

The table of values is

b r

0 0

1 2

2 4

3 6

4 8

5 10

Explanation:

It is given that the ratio of cups of blue paint to cups of red paint is 1:2. It means for every cup of blue paint, there are two cups of red paint.

Let b be the amount of blue paint and r be the amount of red paint. So, the equation for number of cups of red paint is

`r=2b`

Since r and b the cups of red paint and blue paint respectively, therefore the value of r and b are positive integers.

For b=0,

`r=2(0)=0`

For b=1,

`r=2(1)=2`

For b=2,

`r=2(2)=4`

For b=3,

`r=2(3)=6`

For b=4,

`r=2(4)=8`

For b=5,

`r=2(5)=10`

Therefore, the table of values is

b r

0 0

1 2

2 4

3 6

4 8

5 10