Answer:
Part a) When Marcos purchased the card, the balance on the card was $40
This is the B-intercept
Part b) Mark will have spoken 400 minutes when he runs out of money
This is the n-intercept
part c) The slope of the equation is -0.1 and the units are dollars per minute
Step-by-step explanation:
we have
where
B is balance in dollars on the card
n is the number of minutes
Part a) How much money was on the card when he purchased it? $______. Which intercept is this? B-intercept or N-intercept?
we know that
The B-intercept is the value of B when the value of n is equal to zero
so
For n=0
substitute and find the value of B
therefore
When Marcos purchased the card, the balance on the card was $40
This is the B-intercept
Part b) How many minutes will he have talked when he runs out of money? $_____. Which intercept is this? B-intercept or n-intercept ?
we know that
The n-intercept is the value of n when the value of B is equal to zero
so
For B=0
substitute and find the value of n
therefore
Mark will have spoken 400 minutes when he runs out of money
This is the n-intercept
Part c) What is the slope of this equation?________ . What are the units on the slope? Minute , dollars per minute ,minutes per dollars or dollars ?
we have
This is is the equation of the line into slope intercept form
-----> slope of the equation
------> the B-intercept
The units of the slope are dollars per minute