Asked by Anonymous
                You are given the dollar value of a product in 2012 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 0 represent 2010.)
2012 value $950
Rate $350 increase per year
V(t)=??
            
        2012 value $950
Rate $350 increase per year
V(t)=??
Answers
                    Answered by
            Steve
            
    you know that y=mt+b is the line which starts at b and grows by m for each successive value of t.
So, where does V start (when t=0), and how much does it grow when t increases by 1? That is, for each year?
    
So, where does V start (when t=0), and how much does it grow when t increases by 1? That is, for each year?
                    Answered by
            Anonymous
            
    V starts at 950?
    
                    Answered by
            Steve - update
            
    Upon rereading the problem, I must revise my answer. You are given a point in 2012 (where t=2): (2,950)
and also the slope, or change each year. That is, m=350
So, using the point-slope form,
V(t) = 350(t-2)+950
    
and also the slope, or change each year. That is, m=350
So, using the point-slope form,
V(t) = 350(t-2)+950
                    Answered by
            Anonymous
            
    So would that be my final answer or would I have to distribute?
    
                    Answered by
            Steve
            
    depends how specific your teacher is.
To me, any correct form of the equation will do.
If you teacher specified the slope-intercept form, then yeah, expand it out.
But the point-slope form shows just how you got the equation, not just how well you can manipulate expressions.
    
To me, any correct form of the equation will do.
If you teacher specified the slope-intercept form, then yeah, expand it out.
But the point-slope form shows just how you got the equation, not just how well you can manipulate expressions.
                    Answered by
            Anonymous
            
    Okay thank you. Here is another example with different numbers. Can you tell me if this is correct
You are given the dollar value of a product in 2012 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 0 represent 2010.)
250t+500
Is this the point slope form as well
    
You are given the dollar value of a product in 2012 and the rate at which the value of the product is expected to change during the next 5 years. Write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 0 represent 2010.)
250t+500
Is this the point slope form as well
                    Answered by
            Anonymous
            
    2012 value is $550 and rate is $150 increase
    
                    Answered by
            Anonymous
            
    150t+250*** my answer
    
                    Answered by
            Steve
            
    looks good
    
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