Question

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 _______.



THE ANSWER CHOICE IS IN THE PICTURE

Answer 1

Answer:

a)The constant of proportionality is 6.

b)The equation for this relationship is y=6x.

Step-by-step explanation:

a) 6/1=6

b)if apples is "x" and slices is "y," substitute y for 6 and x for 1

so 6=6(1) which is y=6x

Answer 2

The required constant of proportionality is 6 and the equation for this relationship is y=6x.

A table of data is given which describe the relationship between number of apples and number of slices. Blank space in statement to be filled.

What is the equation?

The equation is a function of the relation between two or more values contains equal sign.

Here, from table the equation can be calculated as
Number of apples(x) is directly proportional to the number of slices(y). i.e.
y ∝ x
Now,
y=kx  ----(1)  (where k is proportionality constant)
for 1 apple the number of slices is 6 so,
6 = k*1
k = 6
Put k is equal to 6 in the equation (1).
y = 6x.

Thus, the required constant of proportionality is 6 and the equation for this relationship is y=6x.

Learn more about the equation here:
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