SOLUTION: Dogs between 2 to 13 years old, age at an average rate of 4 human years for every dog year. The equation 4x - y + 16 = 0 describes the relationship between the dogs age x in dog-ye

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Dogs between 2 to 13 years old, age at an average rate of 4 human years for every dog year. The equation 4x - y + 16 = 0 describes the relationship between the dogs age x in dog-ye      Log On


   



Question 1169403: Dogs between 2 to 13 years old, age at an average rate of 4 human years for every dog year. The equation 4x - y + 16 = 0 describes the relationship between the dogs age x in dog-years and the dogs age in human-years y.
a)Write the equation in y = mx +b form
b)What is the age in human-years of a 7 year old dog?
c)A friend tells you their dog is as old as their 60 year old grandparents. How old is the dog in dog-years?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The equation 4x+-+y+%2B+16+=+0 describes the relationship between the dogs age x in dog-years and the dogs age in human-years y.

a)
Write the equation in y+=+mx+%2Bb form
4x+-+y+%2B+16+=+0 ...move y to the right
4x+%2B+16+=+y ...swap the sides
y=4x+%2B+16+

b)
What is the age in human-years of a 7+year old dog?
x=7
y=4%2A7+%2B+16+
y=28+%2B+16+
y=44+->the age in human-years

c)
A friend tells you their dog is as old as their 60 year old grandparents. How old is the dog in dog-years?
y=60
60=4x+%2B+16+
60-16=4x+
44=4x+
44%2F4=x+
x=11-> their dog is 11