Respuesta :

Remember that the equation of the line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this context

we have

C=mt+b

step 1

Find out the slope

we need two points

looking at the graph

we take (0,100) and (1,150)

so

m=(150-100)/(1-0)

m=50 --------> that means $50 per month (monthly fee to remain a member)

the y-intercept is the value of y when the value of x is zero

in this context, the y-intercept is the cost C when the value of t is zero

b=100 ------> that means a one-time fee to join

substitute

C=50t+100

and the slope is $50 per month (monthly fee to remain a member)