Question

After the police track the monkey and his kidnapper for a while, something changes. After one hour, the location is 32 miles away from the zoo. But after 70 minutes, or 7/6 hours, the location is still 32 miles away. Write an equation in point-slope form that represents the distance of the monkey and kidnapper, assuming they are still traveling in a linear pattern.
Enter your answer as an equation in point-slope form.

Answer 1

Let distance of the monkey and kidnapper from zoo be y in miles and time be x in minutes,

When x=60 (one hour), y = 32; when x=70, y= 32 as well.

Assuming they are traveling in a linear patter,

y = m*x  +  c where m is the traveling speed and c is the initial distance when t is 0

subsitituting 32 = 60m + c and 32 = 70m + c

solving the two unknowns, m = 0 and c = 32

so in point slope form, the equation becomes (x - 32)/(y - 60) = 0