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Currently, the temperature of a bowl of ramen is 57°C above room temperature. The temperature of the ramen decreases based on the function f(t) = 57(0.89)t where t represents time elapsed in minutes. Where does the graph of f(t) cross the y-axis, and what does this represent in the context of the problem?


a

f(57) = 0; the time it takes for the above-room temperature to reach 0°C


b

f(0) = 57; the time it takes for the above-room temperature to reach 0°C


c

f(57) = 0; the above-room temperature of the ramen at time t = 0


d

f(0) = 57; the above-room temperature of the ramen at time t = 0

Currently the temperature of a bowl of ramen is 57 C above room temperature The temperature of the ramen decreases based on the function f

Answer :

The solution is Option D.

The value of the equation f ( 0 ) = 57 ; the above-room temperature of the ramen at time t = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( t ) = 57 ( 0.89 ) ^ t be equation (1)

Now , t represents time elapsed in minutes

Substituting the value of t = 0 , we get

The time elapsed be 0 minutes , the above room temperature will be

f ( t ) = 57 ( 0.89 ) ^ t

when t = 0

f ( 0 ) = 57 ( 0.89 )⁰

Any number raised to the power of 0 is 1

So , the value of the equation is

f ( 0 ) = 57

And , f ( 0 ) is the above room temperature at the time t = 0

Hence , the equation is solved

To learn more about equations click :

https://brainly.com/question/19297665

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