Leila purchased a prepaid phone card for [tex] \$15.25 [/tex]. Calls cost 25 cents a minute. The credit left on the card after [tex] x [/tex] minutes of calls is given by the following function:

[tex]
C(x) = 15.25 - 0.25x
[/tex]

How much credit is left on the card after Leila uses it for 20 minutes of calls?

[tex] \boxed{\text{dollars}} \boxed{} \]



Answer :

To determine how much credit is left on Leila's prepaid phone card after using it for 20 minutes of calls, we can proceed step-by-step using the given information:

1. Initial Credit: The initial amount on the prepaid card is [tex]$15.25. 2. Cost per Minute: Each minute of call costs $[/tex]0.25 (or 25 cents).

3. Minutes Used: Leila used the phone for 20 minutes.

4. Total Cost of Calls:
To find the total cost of the calls, we multiply the cost per minute by the number of minutes used.
[tex]\[ \text{Total Cost} = 0.25 \, \text{dollars/minute} \times 20 \, \text{minutes} = 5.00 \, \text{dollars} \][/tex]

5. Remaining Credit:
To find the remaining credit on the card, we subtract the total cost of the calls from the initial credit.
[tex]\[ \text{Remaining Credit} = 15.25 \, \text{dollars} - 5.00 \, \text{dollars} = 10.25 \, \text{dollars} \][/tex]

Therefore, after using the card for 20 minutes of calls, the remaining credit on the card is [tex]$\boxed{10.25}$[/tex] dollars.