Question

13. Marissa buys a prepaid cell phone card for $25. The charge for a phone call is $0.13 per minute, or part of a minute. Write and solve an inequality to determine the greatest number of minutes that Marissa can talk. Which is the correct way to interpret your solution? * (1 Point) Marissa can talk for no less than 192 minutes, Marissa can talk for at most 192 minutes, Marissa can talk for fewer than 192 minutes, Marissa can talk above 192 minutes.​

Answer 1

The correct option is;

Marissa can talk for at most 192 minutes

Explanation:

The amount for which Marissa buys the prepaid cell phone card = $25

The charge for a phone call using the recharge card = $0.13 per minute

The greatest number of minutes Marissa can call is given by the the following inequality;

t < $25/($0.13/minute)

$25/($0.13/minute) = (192 + 4/13) minutes

Therefore;

t < (192 + 4/13) minutes

The cost of 192 minutes = 192 minutes × $0.13 per minute = $24.96

The amount of credit left on the $25 recharge = $25 - $24.96 = $0.04

The minimum charge for calls = $0.13

The amount remaining after 192 minutes $0.04 is less than the amount to make a call $0.13

Therefore;

t ≤ 192 minutes

Therefore, Marissa can talk for at most 192 minutes.