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A 2-column table with 5 rows. Column 1 is labeled Number of Apples with entries 0, 1, 2, 3, 4. Column 2 is labeled Number of Slices with entries 0, 6, 12, 18, 24.
Use the table to find the constant of proportionality and the equation that represents the relationship.

Let x = number of apples and y = number of slices.

The constant of proportionality is
.
The equation for this relationship is
.

Respuesta :

Answer:

The constant of proportionality is 6

The equation for this relationship is B=6*A

Step-by-step explanation:

We can identify the pattern between columns A and B by noticing that when A=1, B=6.  A cursory glance suggests that A*6 = B.

Moving to the next number, A=2, B=12, we also see that A*6 = B.

We can similarly check the next two items:

When A=3, B=18, A*6=B.

When A=4, B=24, A*6=B.

(In the first case, when both A and B are 0, the rule still applies but is not obvious, as anything times 0 = 0.)

In all cases we see the constant of proportionality (the amount we multiply A by to get B) is 6, and the equation to find B from A (or vice-versa) is A*6 = B.

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