Questions: Alan purchased a prepaid phone card for 40.25. Calls cost 6 cents a minute using the card. The credit C (in dollars) left on the card after x minutes of calls is given by the following function.

Alan purchased a prepaid phone card for 40.25. Calls cost 6 cents a minute using the card. The credit C (in dollars) left on the card after x minutes of calls is given by the following function.

Transcript text: Alan purchased a prepaid phone card for $40.25. Calls cost 6 cents a minute using the card. The credit C (in dollars) left on the card after x minutes of calls is given by the following function.

Solution

Solution Steps

To find out how much credit is left on the card after Alan uses it for 50 minutes of calls, we need to substitute $ x = 50 $ into the given function $ c(x) = 40.3 - 0.06x $. This will give us the remaining credit on the card.

Step 1: Define the Function

The credit $ C $ left on the card after $ x $ minutes of calls is given by the function: \[ C(x) = 40.3 - 0.06x \]

Step 2: Substitute the Value

To find the remaining credit after Alan uses the card for 50 minutes, we substitute $ x = 50 $ into the function: \[ C(50) = 40.3 - 0.06 \times 50 \]

Step 3: Calculate the Remaining Credit

Calculating the expression: \[ C(50) = 40.3 - 3 = 37.3 \]