Question

Stephen walks dogs to make money over the summer. At the beginning of the summer, he has $41. The table shows the total amount of money Stephen has after walking the given number of dogs.

Number of dogs walked Total amount of money ($)
0 41
5 66
10 91
15 116

What is the equation in slope-intercept form that represents the total amount of money Stephen has?


y= ____x + ___

Answer 1

y=mx+b
ok, so notice that b is constant, doesn't change, when x=0, then y=b
that is the starting value

it is stated that he has 41 at the begining so

y=mx+41

alright
so we are also given
when x=5, y=66
so find m
66=5m+41
miinus 41 from both sides
25=5m
divide both sides by 5
5=m


the equation is
y=5x+41