Question

Cassidy’s family is driving home from vacation at an average speed of 55 mph. After 2 hours they are 110 miles from home. What is an equation in point-slope form that represents their distance y from home, after x hours. A. y − 110 = −55(x − 2) B. y − 55 = 110(x − 2) C. y − 2 = 55(x − 110) D. y − 110 = 55(x − 2)

Answer 1

Answer:

D. $y-110=55(x-2)$

Step-by-step explanation:

Cassidy’s family is driving home from vacation at an average speed of 55 mph.

Initially, at x = 0 hours, the family is y = 0 miles away form home. We get the first point (0,0).

After x = 2 hours, the family is y = 110 miles from home. We get the second point (2,110).

The equation in point-slope form that represents their distance y from home, after x hours is

$y-110=\dfrac{0-110}{0-2}(x-2)\\ \\y-110=\dfrac{110}{2}(x-2) \\ \\y-110=55(x-2)$

Answer 2

Answer:

y-110=55(x-2)

Step-by-step explanation: