Question

A recipe says to use 4 cups of sugar to make 96 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of sugar used, x ?

Answer 1

Answer:

The constant of proportionality is 24

Explanation:

The number of cups of sugar is directly proportional to the number of cookies made. This means that as the number of sugar cups increases, the number of cookies made will also increase.

This is modeled by the equation:

y = kx

where:

k is the constant of proportionality

y is the dependent variable (number of cookies)

x is the independent variable (number of cups of sugar)

Now, we are give that 4 cups of sugar are required to make 96 cookies. Substitute with these values in the above equation and solve for k (the constant of proportionality) as follows:

y = kx

96 = k*4

$k = \frac{96}{4}=24$

Hope this helps :)

Answer 2

Answer:

constant of proportionality is

k=24

Step-by-step explanation:

we know that

formula

y=kx

as we can see that cookies are dependent on number of cup of sugar

number of cup of sugar are independent hence

x=number of cup of sugars=4

y=number of cookies=96

to find k

we will put values of x and y in formula

y=kx

k=y/x

k=96/4

k=24

Answer