Answer: at most, the person can talk for 11 minutes.
Step-by-step explanation:
Let x represent the number of minutes of call that the person made.
A long distance call costs 40 cents for the first three minutes. Converting 40 cents to dollars, it becomes
40/100 = $0.4
This means that the cost for the first three minutes will be
0.4 × 3 = $1.2
After the first three minutes, each additional minutes cost 10 cents. Converting 10 cents to dollars, it becomes
10/100 = $0.1
This means that the total cost for x minutes will be
1.2 + 0.1(x - 3)
Therefore, to determine the number of minutes that a person talk and not exceed $2, it becomes
1.2 + 0.1(x - 3) ≤ 2
0.1(x - 3) ≤ 2 - 1.2
0.1x - 0.3 ≤ 0.8
0.1x ≤ 0.8 + 0.3
0.1x ≤ 1.1
x ≤ 1.1/0.1
x ≤ 11
