The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary, the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.

(If there is any more you would like to add to the question I can answer that.)

8 0

3 years ago

Which of the following rules could represent the function shown in the table?

kvasek [131]

ANSWER

The rule is given by the relation,

$y = 2x + 1$

EXPLANATION

We need to check and see if there is a constant difference between the y-values.

$1 - - 1 = 2 = 3 - 1$

We can see that, there is a constant difference of 2.

This means that the table represents a linear relationship.

Let the rule be of the form,
$y = mx + c$

Then the points in the table should satisfy the above rule.

So let us plug in

$(0,1)$

This implies that,

$1 =m (0) + c$

$1 = 0 + c$

$c = 1$

Our rule now becomes,

$y = mx + 1 - - (1)$

We again plug in another point say, (-1,-1) in to equation (1) to get,

$- 1 = m( - 1) + 1$

we solve for m now to obtain,

$- m=-1-1$

$- m = - 2$

$m = 2$
We now substitute back in to equation (1) to get

$y = 2x + 1$

5 0

3 years ago

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