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 .
The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2
y=27 when x=2
y varies inversely as the cube of x
y=k(1/X^3)
y=1 when x=6
1=k(1/6^3)
1=k(1/216)
k=1÷1/216
K=1×216/1
k=216
find y when x=2
y=216(1/2^3)
y=216(1/8)
y=216/8
y=27
Rosaria purchased 50 bracelets and 70 necklaces
Let the number of bracelets be b and the number of necklaces be n
b + n = 120 •••••(i)
Secondly;
10b + 11n = 1270 ••••(ii)
Total cost of b bracelets at 10 per 1 is 10b
Total cost of n bracelets at 11 per 1 is 11n
Adding both gives 1270
From i, b = 120-n
Substitute this into ii
10(120-n) + 11n = 1270
1200 - 10n + 11n = 1270
n = 1270-1200
n = 70
b = 120-n
b = 120-70
b = 50