Question

Tangela earns the same amount each week by babysitting. When she started this job, she had $200 in her savings account.

The table shows Tangela's savings account balance for her first month of work.

Week 0 1 2 3 4
Balance $200 $350 $500 $650 $800

Let x represent the number of weeks Tangela has been working and let y represent Tangela's account balance.

Which equation, expressed in Slope-Intercept form, represents the amount of money in Tangela's bank account over time?

Answer 1

Answer:

y = 150x + 200

Step-by-step explanation:

Given the table :

Week (x) __ 0 ____ 1 ____ 2 ____3 _____ 4

Balance(y) :$200_ $350_ $500_ $650_ $800

Equation in slope - intercept form:

y = mx + c

Where

x and y are the independent(x) and dependent variables (y)

C = intercept, value of y, when x = 0

m = gradient change in y per change in x

Hence,

c = $200 ; y value when x = 0

m = change in x / change in y

m = (500 - 350) / ( 2 - 1)

m = $150

Hence, equation becomes :

y = 150x + 200