Two quantities are related, as shown in the table: ху
2 2
4 5
68
8 11
Which equation best represents the relationship?
y = 3/2x - 1
y = 3/2x + 2
y = 3/2x
y = 3x + 2

Given:

The table of values.

To find:

The equation that best represents the relationship.

Solution:

From the given table it is clear that the value of x increasing by 2 and the value of y increasing by 3. Since y is increasing at a constant rate with respect to x, therefore the given table represents a linear relationship.

Consider any two points from the given table. Let the two points are (2,2) and (4,5). So, the equation of the line is

On further simplification, we get

Therefore, the correct option is A.

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

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas