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Zachary purchased a computer for ​$1,900 on a payment plan. months after he purchased the​ computer, his balance was ​$1,510 months after he purchased the​ computer, his balance was ​$1,250 What is an equation that models the balance y after x​ months?



Answer :

An equation that models the balance y after x​ months is; y = -130x + 1900

What is the equation in slope intercept form?

From the given parameters, we can form a table of values as;

Month    Balance

0              1900

3              1510

5              1250

Now, the formula for slope between two coordinates is;

m = (y2 - y1)/(x2 - x1)

At first coordinate, we have;

m = (1510 - 1900)/(3 - 0)

m = -390/3 = -130

At second coordinate;

m = (1250 - 1510)/(5 - 3)

m = -260/2

m = -130

Now, the formula for equation in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, equation is;

y = -130x + 1900

Read more about slope intercept form at; https://brainly.com/question/1884491

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Complete question is;

Zachary purchased a computer for ​$1,900 on a payment plan. 3 months after he purchased the​ computer, his balance was ​$1,510. 5 months after he purchased the​ computer, his balance was ​$1,250 What is an equation that models the balance y after x​ months?

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