Need a slope,y-intercept and x-intercept

Question

Jorge has $33 from babysitting,he charges 3 dollars each hour. He plans on buying katie 4 dozen roses and 6 chocolate bars.Each dozen of roses cost $15 and each chocolate bar cost $1 each.How many hours does he have to work until he gets the amount he needs? i need an Y-intercept and a x-intercept plus a slope

Answer 1

This problem has some TMI (too much information).

First, re-read the problem until you understand it.  Sometimes, it helps to put it into your own words.  How’s this:  Starting with $33 and increasing to $3 per hour, how many hours does it take to reach $A?

 

Now, what Jorge spends $A on is not important to the problem.  We just need to know how much A is.

     A = (4 dozen)*($15/dozen) + (6 bars)*($1/bar)  =  $60 + $6 = $66

 

In the real problem, the independent variable is hours (x) and the dependent variable is dollars (y).

   y = $33 + $3x

 

We want to know the x that makes y=66.

    33 + 3x = 66

      3x = 33                           [subtract 33 from both sides]

        x = 11 hours

 

The equation is:   y = 3x + 33

         The slope-intercept form of an equation of  a line is  y=mx + b

                               Where m=slope    and  b = y-intercept (the point where x=0)

Slope = 3

y-intercept = 33

x-intercept = -11      (the value of x when y=0)