Y intercept in word problems

Question

An Uber driver charges a pick up fee plus a charge per mile. Terry paid $7.50 for a 7-mile ride. Rick pd $9 for a 10-mile ride.

write the y-intercept in coordinate form. Explain what the y-intercept represents.

write the equation that represents this situation

Answer 1

7.5 = 7x + b -----> b = 7.5 - 7x

9 = 10x + b -------> b = 9 - 10x

7.5 - 7x = 9 - 10x

3x = 1.5

x = 0.5

9 = 10(0.5) + b

9 = 5 + b

b = 4

(0,4), meaning that you're paying $4 just to get in the car.

y = 0.5x + 4