Marcos purchases a top-up card for his pre-paid cell phone. his remaining balance, b, can be modeled by the equation b=40−0.1n, where n is the number of minutes he's talked since purchasing the card.
a) how much money was on the card when he purchased it? $ which intercept is this? b-intercept or n-intercept?
b) how many minutes will he have talked when he runs out of money? $ which intercept is this? b-intercept or n-intercept ?
c) what is the slope of this . what are the units on the slope? minute , dollars per minute ,minutes per dollars or dollars ?

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

answer: hey there,

the answer you are looking for is a..

hope this you!

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right