Question

For the data in the table tell whether y varies directly with X if it does write an equation for the direct variation

Answer 1

a) Option B Direct variation, y=1.8x is correct option.

b) Option A Not a direct variation is correct option.

Step-by-step explanation:

a) for the data in the table tell whether y varies directly with X if it does write an equation for the direct variation

The direct variation is represented by:

$y=kx \,\,or\\\frac{y}{x}=k$

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

$\frac{5.4}{3}=1.8\\\frac{12.6}{7}=1.8\\\frac{21.6}{12}=1.8$

Since value of k is constant i.e 1.8 so, y varies directly with x.

Option B Direct variation, y=1.8x is correct option.

b) For the data in the table tell whether Y varies directly with x if it does write an equation for the direct variation.

The direct variation is represented by:

$y=kx \,\,or\\\frac{y}{x}=k$

We need to find k.

Given the values of x and y in table we will find k. if value of k is constant, so x and y varies directly

$\frac{1}{-2}=-\frac{1}{2}\\\frac{6}{3}=2\\\frac{11}{8}=1.3$

Since value of k is not constant  so, y doesn't varies directly with x.

Option A Not a direct variation is correct option.

Keywords: Direct variation:

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