Answer:
A). Adam and Bianca is saving the same per day and it is 3$/day
B). On starting of competitions,
Adam has 3$ and Bianca has 2$
Step-by-step explanation:
Given that saving of Adam is shown in graph and saving of Bianca is shown in the table.
In the case of Adam's saving
Equation of line for saving is given by y=mx+c
y is saving in dollars and x is a number of days.
where m is a slope of line and c is the y-intercept
The slope is given by m=[tex]\frac{Y2-Y1}{X2-X1}[/tex]
From a given graph of Adam's saving,
A line passing through, (0,3) and (1,6)
The slope is given line will be
m1=[tex]\frac{Y2-Y1}{X2-X1}[/tex]
m1=[tex]\frac{6-3}{1-0}[/tex]
m1=3
and y-intercept of the graph is c=3
Therefore, The equation for Adam's saving is y=3x+3
.
In the case of Bianca's saving
Equation of line for saving is given by (y-Y1)=m(x-X1)
y is saving in dollars and x is a number of days.
where m is the slope of the line
The slope is given by m=[tex]\frac{Y2-Y1}{X2-X1}[/tex]
From the given table of Bianca's saving,
A line passing through, (5,17) and (8,26)
The slope is given line will be
m2=[tex]\frac{Y2-Y1}{X2-X1}[/tex]
m2=[tex]\frac{26-17}{8-5}[/tex]
m2=3
Therefore, The equation for Bianca's saving is
(y-Y1)=m(x-X1)
(y-17)=3(x-5)
y-17=3x-15
y=3x+2
A). Determine who saves the most per day.
Ans.
On comparing the slope of the equations
m1=m2=3$/day
Thus, Adam and Bianca is saving the same per day
B). How much money both have starting of competitions
Ans.
On comparing the y-intercept os equations
For Adam: Y-intercept is 3$
For Bianca: Y-intercept is 2$
