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 38 minutes of calls is 19.68, and the remaining credit after 60 minutes of calls is . What is the remaining credit after 81 minutes of calls?

5.06

Step-by-step explanation:

Given that the remaining credit after 38 minutes of calls is 19.68, and the remaining credit after 60 minutes of calls is 12.20.

As the credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes), so let the linear equation be

where y is the credit remaining on a phone card (in dollars) and x is the total calling time made with the card (in minutes).

Now, as the remaining credit after 38 minutes of calls is 19.68, so, put x=38 and y=19.68 in equation (i), we have

Similarly, the remaining credit after 60 minutes of calls is 12.20, so, put x=60 and y=12.20 in equation (i), we have

[ by using (ii)]

From equation (ii),

Putting the value od a and b in equation (i), we have

So, the remaining credit after 81 minutes can be determined by putting x=81 in the above equation.

Hence, the remaining credit after 81 minutes of calls is $5.06.

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared