One auto repair shop charges 30 for a diagnosis plus 25 per hour for labor, and another just charges 35 per hour

Question

I need the model of the situation, and the line intecept, thank you so much for answering!

One auto repair shop charges 30 for a diagnosis plus 25 per hour for labor, and another just charges 35 per hour

Answer 1

Shop A: y = 25x + 30

Shop B: y = 35x

Set the equations equal to each other to get the intersection point.

25x + 30 = 35x --> 10x = 30 --> x= 3

y = 35(3) = 105

Intersects at (3, 105)