Cost of owning a car prob

DMc

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The number of $$'s it costs a month to own a car depends on the number of miles driven that month. Suppose it costs $453 a month if driven 600 miles and $685 a month if driven 1000 miles. Assume a linear function is a reasonable math model of the way cost varies with distance.

1.Id the independent and dependent variables

2. determine the slope and interpret s meaning in context of the problem

3. determine the linear function

4. Predict monthly costs is driven 800 and1200 miles per month

5. determine $$'s per month intercept and interpret is meaning re the problem

6. how far could you drive in a month w/o exceeding cost of $500

7. determine the Distance intercept ad interpret its meaning re the problem
 
The number of $$'s it costs a month to own a car depends on the number of miles driven that month. Suppose it costs $453 a month if driven 600 miles and $685 a month if driven 1000 miles. Assume a linear function is a reasonable math model of the way cost varies with distance.
So you have been given two data points, and you have been told that those two points lie on a straight line.

1.Id the independent and dependent variables
I'm sorry, but this makes no sense. Please reply with corrections.

2. determine the slope and interpret s meaning in context of the problem
What did you get when you plugged the two points into the slope formula? How did you interpret the slope in the given context?

3. determine the linear function
You picked one of the given points, and plugged that point and the slope you got in (b) into one of the straight-line equations, and... then what? Where are you stuck?

4. Predict monthly costs is driven 800 and1200 miles per month
You plugged the given values into the formula you found in (3), and... then what? Where are you stuck?

5. determine $$'s per month intercept and interpret is meaning re the problem
I will guess that the exercise is meant to say something more intelligible such as "Determine the y-intercept of the function for the cost, in dollars, and interpret it's meaning in the context of the stated problem."

What did you find as the value for the y-intercept of the straight line you found in (3)? What are your thoughts as to its meaning?

Please be complete. Thank you! ;)
 
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