iAkumu
contestada

A 12-inch candle begins to burn at a constant rate. The function that models the height, h, in inches of the candle after t minutes is given by this equation. Enter your answers in the boxes.

*I have no idea solve this so it would be helpful if someone shows me step by step, thanks!

A 12inch candle begins to burn at a constant rate The function that models the height h in inches of the candle after t minutes is given by this equation Enter class=

Respuesta :

at the start  time t = 0 and when the candle has burned away the time will be 12 / (1/5) = 60

so the domains is     greater or equal to 0 and less or equal to 60


The height  h(t) candle is  12 ins at the start  and  0 ins at the end  so the range is   greater or equal to zero and less than or equal to 12
MrRoyal

The true statements are:

  1. The domain of the function is real numbers greater than or equal to 0 and less than or equal to 60
  2. The range of the function is real numbers greater than or equal to 0 and less than or equal to 12

The domain

The function is given as:

[tex]h(t) = -\frac 15t + 12[/tex]

Set the function to 0

[tex]-\frac 15t + 12 = 0[/tex]

Multiply through by -5

[tex]t -60 = 0[/tex]

Solve for t

t = 60

The above means that, the candle will burn completely in 60 minutes

So, the domain of the function is real numbers greater than or equal to 0 and less than or equal to 60

The range

The height of the candle is 12.

When it burns completely, the height becomes 0

So, the range of the function is real numbers greater than or equal to 0 and less than or equal to 12

Read more about range and domain at:

https://brainly.com/question/10197594

Otras preguntas