The cost for a long-distance telephone call is $0.35 for the first minute and $0.10 for each additional minute or a portion thereof. The total cost of the call cannot exceed $3. Write an inequality representing the number of minutes m, a person could talk without exceeding $3.

0.25 +0.1 t < 3

Step-by-step explanation:

Let the total time for which call is made is t minutes.

of those t minutes, first minute costs $0.35.

Excluding 1 minute, no. of minutes left = (t-1) minutes

it is given that after first minute each additional minute cost $0.10.

Thus, cost of  (t-1) minutes call =  (t-1)* $0.10.

Total cost = first minute call cost +cost of  (t-1) minutes call

                =  0.35 + (t-1)* 0.10

                = 0.35 + 0.1t - 0.10

                = 0.25 +0.1 t

Thus, total cost is 0.25 +0.1 t .

it is given that total cost cannot exceed $3

Thus, 0.25 +0.1 t cannot exceed $3

which is same 0.25 +0.1 t is less than $3

in inequality term it can be written as

0.25 +0.1 t < $3

Thus, inequality as required is 0.25 +0.1 t < 3