The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 35 minutes of calls is $15.10, and the remaining credit after 46 minutes of calls is $13.56. What is the remaining credit after 51 minutes of calls?CallingtimeinminutesRemainingcreditindollars$1
Question
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 35 minutes of calls is 13.56. What is the remaining credit after 51 minutes of calls?CallingtimeinminutesRemainingcreditindollars$1
Solution
To solve this problem, we first need to find the rate at which the credit is being used per minute.
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Determine the change in credit and the change in time.
The change in credit is 13.56 = $1.54. The change in time is 46 minutes - 35 minutes = 11 minutes.
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Calculate the rate of change (slope) by dividing the change in credit by the change in time.
Rate = 0.14 per minute.
This means that for every minute of call, the credit decreases by $0.14.
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To find the remaining credit after 51 minutes of calls, we need to know the initial credit. We can find this by using one of the given points and the rate. Let's use the point (35 minutes, $15.10).
Initial credit = 0.14 * 35 minutes) = $20.00
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Now, we can find the remaining credit after 51 minutes of calls.
Remaining credit = Initial credit - (20.00 - 12.86
So, the remaining credit after 51 minutes of calls is $12.86.
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