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.
<em>In the case of Adam's saving</em>
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=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
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=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m1=![\frac{6-3}{1-0}](https://tex.z-dn.net/?f=%5Cfrac%7B6-3%7D%7B1-0%7D)
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=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
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=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m2=![\frac{26-17}{8-5}](https://tex.z-dn.net/?f=%5Cfrac%7B26-17%7D%7B8-5%7D)
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$