Questions: Write a symbolic representation (formula) for a function g that calculates the given quantity. Then evaluate g(9) and interpret the result. The number of seconds in x minutes. Write the symbolic representation of g . g(x)= (Simplify your answer.)

Write a symbolic representation (formula) for a function g that calculates the given quantity. Then evaluate g(9) and interpret the result.

The number of seconds in x minutes.

Write the symbolic representation of g .
g(x)= (Simplify your answer.)

Transcript text: Write a symbolic representation (formula) for a function $g$ that calculates the given quantity. Then evaluate $g(9)$ and interpret the result. The number of seconds in x minutes. Write the symbolic representation of g . $g(x)=$ $\square$ (Simplify your answer.)

Solution

Solution Steps

To find the number of seconds in $ x $ minutes, we need to multiply the number of minutes by the number of seconds in one minute, which is 60. Therefore, the function $ g(x) $ can be represented as $ g(x) = 60x $. To evaluate $ g(9) $, substitute 9 for $ x $ in the function.

Step 1: Define the Function

To find the number of seconds in $ x $ minutes, we define the function $ g(x) = 60x $. This function multiplies the number of minutes by 60, the number of seconds in one minute.

Step 2: Evaluate the Function at $ x = 9 $

Substitute $ x = 9 $ into the function: \[ g(9) = 60 \times 9 \]

Step 3: Calculate the Result

Perform the multiplication: \[ g(9) = 540 \]