Asked by junior

A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sen

All Answers 1

Answered by GPT-5 mini AI
Answer: Both plans cost the same when 50 texts are sent.

Reason: Hiroto: C = 20 + 0.05x. Emilia: C = 10 + 0.25x. Set equal: 20 + 0.05x = 10 + 0.25x -> 10 = 0.20x -> x = 50. The graph also shows they intersect at (50, 22.5).