Complete each table. Then write a function rule for each relationship.

OK, Angelica

Here's the first one

N = 24C      where N is the number of bottles of water and C is the number of cases

And here's the second

C = $10(N-1) + $60     where N is the number of minutes and C is the cost

I'll let you finish the tables !!!

You can graph these sets of values. For this type of problem, you don't actually have to graph them, just realize that if you had the equation of the graph of the line that went through those values, that would be your answer.

If you know at least two points on a line, you can find the equation of that line using the point-slope form.

Point-slope form:  y - y1  =  m( x - x1)

But this will require that you know the slope; you can find the slope by:  m  =  (y2 - y1) / (x2 - x1)

Top problem:  first find the slope:  x1 = 1  y1 = 24    x2 = 2  y2 = 48

    m  =  ( 48 - 24 ) / ( 2 - 1 )     --->     m  =  2

Placing the values of  m,  x1  and  y1  into the point-slope form:  y - 24  =  24( x - 1 )

and reducing the equation:  y - 24  =  24x - 24     --->   y  =  24x.

Bottom problem:  x1 = 1     y1 = .60     x2 = 2     y2  = .70

    m  =  ( .70 - .60 ) / ( 2 - 1 )     --->     m  =  .10

Placing the values of  m,  x1  and  y1  into the point-slope form:  y - .60  =  .10( x - 1 )

and reducing the equation:  y - .60  =  .10x - .10     --->   y  =  .10x + .50.

(These can also be done without graphing formulas; if you would prefer that way, post back.)