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

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 describes the relationship between the dogs age x in dog-years and the dog      Log On


   



Question 1169107: Dogs between 2 to 13 years old, age at an average rate of 4 human years for every dog year. The equation 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(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Dogs between 2 to 13 years old, age at an average rate of 4 human years for every dog year.

a)
Write the equation in y+=+mx+%2Bb form

y=mx+%2B+b+ where the dogs age is x, and the dogs age in human-years is y

if given that x=2, then y=2%2A4=8
8=m%2A2+%2B+b+ ......eq.1
if given that x=13, then y=13%2A4=52
52=m%2A13+%2B+b+ ......eq.2
solve this system:
8=2m+%2B+b+ ......eq.1
52=13m+%2B+b+ ......eq.2
_____________________________________ subtract eq.1 from eq.2
52-8=13m-2m+%2B+b-b+
44=11m+
m=44%2F11+
m=4+
substitute in eq.1 to calculate b
8=2%2A4+%2B+b+ ......eq.1
8=8+%2B+b+
8-8+=+b+
+b=0+
your equation is
y=4x++
b)
What is the age in human-years of a 7+year old dog?
x=7
y=4%2A7++
y=28++ ->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+
60%2F4=x+
x=15+-> their dog is old 15