jhonnyforem jhonnyforem
  • 29-07-2020
  • Mathematics
contestada

HELP The cost of tea varies directly with the mass. Liz bought 4.5kg of tea for $10.35. What is the cost of 12kg of tea?

Respuesta :

Stephen46
Stephen46 Stephen46
  • 06-08-2020

Answer:

The cost of 12kg of tea is $ 27.60

Step-by-step explanation:

Let m represent the mass of the tea

Let c represent its cost

The cost of tea varies directly with the mass is written as

c = km

where k is the constant of proportionality

when m = 4.5kg

c = $ 10.35

Substitute the values into the above formula

10.35 = 4.5k

Divide both sides by 4.5

k = 2.3

So the formula for the problem is

c = 2.3m

when the mass is 12kg

the cost is

c = 2.3 × 12

c = $ 27.60

Hope this helps you

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