Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of −0.16. See the figure below.There is $33.84 in credit remaining on the card after 24 minutes of calls. How much credit will there be after 30 minutes of calls?CallingtimeinminutesRemainingcreditindollars2433.84$29.04
Question
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of −0.16. See the figure below.There is 29.04
Solution
The slope of the line is -0.16, which means for every minute of call, the credit decreases by $0.16.
Given that there is $33.84 remaining after 24 minutes, we can calculate the credit remaining after 30 minutes.
First, find the difference in time: 30 minutes - 24 minutes = 6 minutes.
Then, multiply this time difference by the rate of decrease (the slope): 6 minutes * -0.96.
Finally, subtract this amount from the initial credit amount: 0.96 = $32.88.
So, there will be $32.88 in credit remaining on the card after 30 minutes of calls.
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