Answer:
y=-2x+7
enter the point into point slope form to find the slope and then use one of the points in point slope form and rearrange it to have y by itself
X - Linda's speed
(x+8 )- Colleen's speed
8x - Linda's distance for 8 h
8(x+8) = 8x+64 - Colleen's distance for 8 h
8x + 8x + 64 = 176 - distance between Colleen and Linda after 8 h
8x + 8x + 64 = 176
16x +64 = 176
16x = 176 - 64
16x = 112
x= 7 mph Linda's speed
x+8 = 7+8 = 15 mph Colleen's speed
She needs at least 130 points, so 130 - 75 (that she is earning from the sign up) = 65 points.
65 : 5,5 = 11,81 ≈ 12
So she has to sign up and visit he movie theatre at least 12 times to earn a movie ticket.
