SOLUTION: I am trying to help my daughter with her homework, but since I have no idea what I am doing I hope that having the answer will help me out: Cost of owning a car problem: The nu

Question 107513: I am trying to help my daughter with her homework, but since I have no idea what I am doing I hope that having the answer will help me out:
Cost of owning a car problem: The number of dollars per month it costs you to own a car is a function of the number of miles per month you drive it. Based on information in an issue of Time magazine, the cost varies linearly with the distance and is $376 per month for 400 miles per month and $572 per month for 1800 miles per month.
a) Write the particular equation expressing cost in terms of distance.
b) Predict the monthly cost if you drive 500, 1000, 2000 miles per month.
c) About how far could you drive in a month without exceeding a monthly cost of $600?
d) What does the slope reprsent?
e) List all the resons you can think of to explain why the dollars per month intercept is grater than zero.
f) Sketch and label the graph.
Thank you in advance for any help you can give me.
Brian
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
using the two cost & distance figures, you cand find the "cost per mile" (slope of the line)

(572-376)/(1800-400)=196/1400=.14

if it costs 14 cents per mile then 376-(.14*400) or 320 represents the "fixed costs"

the equation is (cost)=.14(miles)+320

for b) and c) just plug the numbers into the equation

e) is stuff like car payments - that are NOT milage related
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