Question

Let y be a college's enrollment (in thousands of students), and let x be the number of years that the college has been open. Assume that the equation y = 0.6x + 6 describes the relationship between x and y. Complete parts a through b. below. a. Complete the following table. Number of years college Enrollment has been open (thousands of students) X. Y 0. _1. _ 2. _ 3. _ 4. _(Type integers or decimals.) b. By how much does the college's enrollment increase each year? The college's enrollment is increasing by:____ thousands of students per year.(Type an integer or a decimal.)

Answer 1

We were told that x represents the number of years and y represents the number of enrollment from the onset. The equation representing teh relationship is

y = 0.6x + 6

a) We would determine the values of y by subsstituting the corresponding values of x into the equation. We would multiply by 1000 since it is expressed in thousands

For x = 0, y = 0.6*0 + 6 = 6*1000 = 6000

For x = 1, y = 0.6*1 + 6 = 6.6 * 1000 = 6600

For x = 2, y = 0.6*2 + 6 =