Answer:
Slope of the function is ,Y-intercept .
The function is with initial value,Jordan puts each week andthe amount saved by Jordan after week .
Step-by-step explanation:
To understand the slope and y-intercept lets assign as number of weeks and as the money saved by Jordan.
Jordan is already having a sum of inside the money bank so in week the amount is can be written as in coordinate form.
SImilarly
We have and
Part A:
The function is
From point-slope form,we have slope (m)
and ,plugging the values of the points.
Y-intercept of this function is the constant term or the money of that is already inside the money bank.
We can also calculate y-intercept by arranging the function as choosing any coordinate and here is the y-intercept.
The result will be same.
Part B:
The equation <u></u> can represent the function described.
And the initial value is the <u>y-intercept </u>
Jordan puts<u> </u>in his bank each week.
After week the amount saved by Jordan ,here ,as the x-variable is the number of weeks.
Plugging the value of in where so the equation becomes
So basically the function is and the amount saved by Jordan after week .
x = 6 2/3
10+3(x+2)=36
10+3x+6=36 Solve inside the parenthesis.
16+3x=36 Combine like terms.
-16 -16 Subtract 16 from both sides.
3x/3=20/3 Divide both sides by 3.
x=6 2/3 The answer is x= 6 2/3, or 6.66666666666667