Solve the application involving a linear inequality and its graph. Carlos needs at least $380 to buy a new smartphone. He works x hours at a restaurant for $13 per hour and y hours as a tutor for $25 per hour. The inequality models the amount of money Carlos must earn to buy the new phone. The inequality is graphed below. Determine whether the ordered pair (15, 20) is a solution to the inequality and explain its real-world meaning.

Question

A. (15, 20) is a solution. If Carlos works 15 hours at  $25 per hour and 20 hours at $13 per hour, he will be able to purchase the new phone.
B. (15, 20) is a solution. If Carlos works 15 hours at $13 per hour and 20 hours at $25 per hour, he will be able to purchase the new phone.
C. (15, 20) is not a solution. If Carlos works 15 hours at  $25 per hour and 20 hours at $13 per hour, he will not be able to purchase the new phone.
D. (15, 20) is not a solution. If Carlos works 15 hours at $13 per hour and 20 hours at $25 per hour, he will not be able to purchase the new phone.

Answer 1

Answer: B