Solve the problem.
-Shaundra has $3.65 to make a long distance call at a pay phone.The rates listed on the phone for a long distance call are $2.25 for the first three minutes and $0.35 for each additional minute or portion of a minute. Find the
Maximum number of minutes Shaundra can stay on the line.
A)2 minutes
B)4 minutes
C)7 minutes
D)10 minutes

Question

Quizplus · Accepted Answer

Shaundra has $3.65 and the first three minutes of the call cost $2.25.
So, she is left with $3.65 - $2.25 = $1.40 for each additional minute or portion of a minute.
We can set up an equation to find the maximum number of additional minutes she can afford:
$1.40 = $0.35x
x = 4
This means she can afford an additional 4 minutes or portion of a minute.
Therefore, the maximum number of minutes she can stay on the line is:
3 (minutes in the first charge) + 4 (additional minutes) = 7 minutes. Shaundra can afford to make the initial $2.25 payment and still have $1.40 left over. This $1.40 is what she can use to pay for additional minutes at $0.35 per minute.

To find the maximum number of minutes, we can set up an inequality:
$1.40 \geq 0.35m$
where $m$ is the number of additional minutes after the first 3.

Solving for $m$, we get:
$m \leq 4$

This means Shaundra can make the initial payment of $2.25$ and stay on the line for an additional $4$ minutes, for a total of $3$ minutes (the first three minutes included in the initial payment plus the additional 4 minutes). Therefore, the maximum number of minutes Shaundra can stay on the line is 7 (3 minutes initial payment + 4 additional minutes).

Therefore, the answer is C)7 minutes.

Solve the Problem. -Shaundra Has $3.65 to Make a Long Distance Call at Distance