Question

9. Carla has $200 in her bank account.
Each week, she withdraws $20.
a. Write and graph a linear function that
represents the amount of money
Carla has left in her account after a
certain number of withdraws.
b. Find and interpret the x-intercept.
C. Find and interpret the y-intercept.
d. Find the appropriate domain and
range for this situation.

Answer 1

(a) Linear Equation:   $f(x) = 200 - 20x$

(b) x-intercept : (10,0)

(c) y-intercept : (0,200)

(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

    Range : {0,1,2,...,200}

Step-by-step explanation:

Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.

Every week $20 is getting deducted from the total amount of $200.

Step 2: (a) So we can quote it in equation as,

$f(x) = 200 - 20x$

where x represents number of weeks

Step 3: (b) x-intercept is where value of y becomes 0.

So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.

Step 4: (c) y-intercept is where value of x becomes 0.

So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.

Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

                  Range : {0,1,2,...,200}