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a dump truck weighs 11.25 tons when empty a conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute until it's full. let T represent the elapsed time in minutes. Let W represent the weight of the truck after T minutes.


Write an equation for W in terms if T

W(T)=________

Respuesta :

carlosego
For this case, the first thing we must do is define variables.
 We have then:
 t: time in minutes
 The linear equation that represents the problem is given by:
 w (t) = (1/4) t + 11.25
 Answer:
 An equation for W in terms if T is:
 w (t) = (1/4) t + 11.25

Answer:

W(T) [tex]=(1/4)\cdot{T}+11.25[/tex]

Step-by-step explanation:

The orignial weight of the truck is 11.25 and this remains a constant weight of the truck throughoout the loading of the sand. If the expression is written in terms of weight, we must convert the mass flow (ton/min) to weight in tons. This can be done by multiplying with time T minutes. The total weight after T minutes is the sum of the weight of the truck and the sand:

W(x) [tex]=(1/4)\cdot{x}+11.25[/tex]

W(T) [tex]=(1/4)\cdot{T}+11.25[/tex]

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