Question

Assume that y is directly proportional to x. Use the given x-value and y-value to find a linear model that relates y and x.

x = 5, y = 1010.

Answer 1

Explanation:

To find a linear model, you need to use the formula y = kx and solve that for k. k is the constant of variation, also known as the slope of a line. Hence, the word "linear".

If y = kx and y = 1010 and x = 5, then

1010 = 5k so

k = 202

The linear model, then, is

y = 202x