Question

Help i need to know what k is

Answer 1

Answer:

k = 5

Step-by-step explanation:

The formula for coefficient of proportionality is y = kx.

In the given problem, the Area of a rectangle corresponds to "y" in the constant of proportionality formula, and "x" is still the same. Since the formula for the area of a rectangle is: A = L × W, then:

A = y

L = k

W = x

y = kx is the same as A = LW or A =  L × W

Thus, we're looking for the value for k, which corresponds to the length (L) (which has a constant value).

Below are the calculations for the missing values in the table:

We'll start with x = 0.14, and A = 0.7 since we're given the values for them. We could plug these values into the formula for the Area of a rectangle to find the constant value of the length (L):

A = L * W

0.7 = L * 0.14

Divide both sides by 0.14 to isolate L:

0.7/0.14 = (L * 0.14)/0.14

5 = L  ←← Keep in mind, this is the coefficient of proportionality.

x = 3.1:

A = L * W

A = 5 * 3.1

A = 15.5

x = 2.5:

A = 5 * 2.5

A = 12.5

x = 1.2:

A = 5 * 1.2

A = 6

x = 0.9:

A = 5 * 0.9

A = 4.5

Next, we're given the values for the Area, but we're missing the values for x. However, we already have the value for L = 5. We could still follow the same process by plugging in the values into the formula:

A = 0.3:

A = L * W

0.3 = 5 * W  

Divide both sides by 5 to solve for W:

$\frac{0.3}{5} = \frac{5 * W}{5}$

0.06 = W

A = 0.1:

A = L * W

0.1 = 5 * W  

Divide both sides by 5 to solve for W:

$\frac{0.1}{5} = \frac{5 * W}{5}$

0.02 = W

Therefore, k = 5.