The table shows a proportional relationship between the mass, in kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis, of a dog and the milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of flea medicine a veterinarian prescribes.
Flea medicine prescriptions
Dog's mass (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis Medicine (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis
505050 222
101010 0.40.40, point, 4
555 0.20.20, point, 2
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A row of values is missing in the table.
Which of the following numbers of kilograms and milliliters could be used as the missing values in the table?

Respuesta :

Answer:

Dog: 40 kg

Medicine: 1.6mL

Dog: 35 kg

Medicine: 1.4mL

Step-by-step explanation:

This combination has 0.040.040, point, 04 milliliters of medicine per kilogram of the dog's mass, which is the same as in the table.

This combination has 0.040.040, point, 04 milliliters of medicine per kilogram of the dog's mass, which is the same as in the table.

Dog: 40 kg, Medicine: 1.6 mL number could be used as the missing values in the table.

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

If the relationship between two variables, x and y, can be represented as the following, it represents a proportional variation.

y = kx

Let as :

The mass of dog = x in kilograms

Milliliters of flea medicine a veterinarian prescribes = y

Determine the value of the constant of proportionality k for the given data

With x = 50 kg, y = 2 mL

k =2/50 = 0.04 mL/kg

With x = 10 kg, y = 0.4 mL

k = 0.4/10 = 0.04 mL/kg

With x=5 kg, y=0.2 mL

k = 0.2/5 = 0.04 mL/kg

So, the linear equation is y = 0.04x

Divide the milliliters of medicine by the kilograms of the dog and compare the result with the constant of proportionality.

Dog: 40 kg, Medicine: 1.6 mL

⇒ 1.6/40

⇒ 0.04

These number could be used as the missing values in the table.

Learn more about equation here:

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