Jordan got a new money bank for his birthday with $20 inside. he puts part of his weekly allowance in his bank each week and doesn’t take anything out. he puts the same amount in each week. after 25 weeks, he has $113.75 in his bank. the amount of money in jordan’s bank can be represented by a linear function.

question 1
part a

what are the slope and y-intercept of this function?

the slope of the function is _
, and the y-intercept is _
.
question 2
part b
use the drop-down menus to complete the statements.

the equation y = x can represent the function described.

the initial value is

jordan puts__ in his bank each week.

after 52 weeks, jordan will have

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 can represent the function described.

And the initial value is the y-intercept

Jordan puts 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 .