Question

Ty borrowed $500 from his parents.The graph shows how much he owes them each month if he pays back a certain amount each month.
Describe the relationship between the number of months and the amount ty owes. Identify an independent and dependant variable and explain your thinking.

Answer 1

Well he obviously paying off his money owed so the graph is decreasing with each month and he doesn't have to pay as much each month. Independent will always be x and dependent will always be y

Answer 2

The relationship between the number of months and amount owed is:

y  =  -50x  +  500

The amount owed is the dependent variable

The number of months is the independent variable

Word problem on linear equations

The amount borrowed is the initial amount owed

Let the number of months be represented by x

Let the amount borrowed be represented by y

The graph gives a linear relationship

Calculate the slope(m) by selecting two points on the line

(6, 200) and (10, 0)

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{0-200}{10-6} \\\\m=\frac{-200}{4} \\\\m=-50$

The line touches the y-axis on y = 100

Therefore, the y-intercept, c = 500

The equation is represented by the slope-intercept form of the equation of a line

y   =  mx  +  c

Substitute m = -50 and c = 500 into the equation

y  =  -50x  +  500

The relationship between the number of months and amount owed is:

y  =  -50x  +  500

Learn more on linear equations here: https://brainly.com/question/14323743