Question

The remaining credit after 93 minutes of calls can be calculated using the linear relationship. The remaining credit after 42 minutes is $18.28, and the remaining credit after 81 minutes is $12.04. You can calculate the slope and use it to find the remaining credit after 93 minutes.

Answer 1

By calculating the slope of the linear relationship between call duration and remaining credit and applying it, we find out that the remaining credit after 93 minutes is $10.12.

Step-by-step explanation:

The linear relationship between time spent on phone calls and remaining credit can be determined by calculating the slope of the line connecting two known points. With given points (42 minutes, $18.28) and (81 minutes, $12.04), we can find this slope by subtracting the difference in credit and dividing it by the difference in time.

First, calculate the slope (m):

m = (change in credit) / (change in minutes) = ($12.04 - $18.28) / (81 minutes - 42 minutes) = -$6.24 / 39 minutes = -0.16 dollars/minute

Then, to find the remaining credit after 93 minutes, we use the point-slope form:

Remaining credit = starting credit + (slope × change in minutes)

Remaining credit after 93 minutes = $18.28 + (-0.16 × (93 - 42))

Remaining credit after 93 minutes = $18.28 + (-0.16 × 51)

Remaining credit after 93 minutes = $18.28 - $8.16

Remaining credit after 93 minutes = $10.12