SOLUTION: Mr. JOnes was charged the following rates for his phone bill: $1.85 for 37 minutes $3.75 for 1 hour 15 minutes (75 minutes) a) Put this information into (x,y) pairs. Which one

Algebra.Com
Question 65896: Mr. JOnes was charged the following rates for his phone bill:
$1.85 for 37 minutes
$3.75 for 1 hour 15 minutes (75 minutes)
a) Put this information into (x,y) pairs. Which one is the independent variable?
b) What is the rate charged per minute?
c) IS there a fee for having the phone?_____ If so, what is it?
d) What is the equation that can be used to find the price for any amount of minutes used?
e) What would be the cost if Mr. Jones used 118 minutes?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Mr. JOnes was charged the following rates for his phone bill:
$1.85 for 37 minutes
$3.75 for 1 hour 15 minutes (75 minutes)
-----------
You have two points: (37,1.85), (75,3.75)
a) Put this information into (x,y) pairs. Which one is the independent variable?
The independent variable is time of use.
b) What is the rate charged per minute?
Find the equation relating minutes to cost, as follows:
slope = [3.75-1.85]/[75-37]=1.90/38=0.05
0.05 is the rate charged per minute
---------------
intercept: 3.75=0.05(75)+b ; 3.75-0.05(75)+b; b=0
EQUATION: Cost=0.05(time in minutes)+0
--------
c) IS there a fee for having the phone?_____ If so, what is it?
Cost fo zero minutes = 0.05(0)=0
So there is no cost for just having the phone.
d) What is the equation that can be used to find the price for any amount of minutes used?
Cost=0.05(minutes used)
e) What would be the cost if Mr. Jones used 118 minutes?
Cost=0.05(118)=$5.90
Cheers,
Stan H.

RELATED QUESTIONS

Write an expression for the following 60 minutes = 1 hour 120 minutes = 2 hours 180... (answered by oberobic)
A driver drove at 80 kph for 20 minutes of a one -hour trip. His average speed for the... (answered by srinivas.g,MathTherapy)
During the week a man used 500 minutes of internet time and 100 minutes of phone time;... (answered by josmiceli)
Minh walked a total of 4 miles in 75 minutes. It he walked at 3.5 miles per hour for the... (answered by rfer,ankor@dixie-net.com)
if a man walks for 20 minutes and then drives in his car for an hour and a half he goes a (answered by checkley79,josmiceli)
janes cell phone plan is $40 per month plus $.15 per minute for each minute over 200... (answered by ReadingBoosters)
A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute... (answered by solver91311,greenestamps)
Christinia's cell phone plan is $29.95 per month plus $0.10 for every minute over 500... (answered by checkley79)
A phone plan charges $15.95 per month and $0.10 for every minute, m, that the phone is... (answered by josgarithmetic)