19. The table below shows the number of students Linear enrolled at Temple College since 2010. Estimate the number of students to enroll in 2017?

3,879

Step-by-step explanation:

To find the estimate of the number if students to enrol in 2017, we need to deriving a linear equation from the function table given.

Thus, this equation can be writen as y = mx + b

Where,

x = independent variable = t

y = dependent variable = h

m and b are constants, m = rate if change of h to t, while b is the y-intercept or value of h when t = 0.

Let's find the equation by finding m and b

m = (3042-2892)/(2011-2010) = 150/1

m = 150

Let's find b

y = mx + b

we can use any given pair from the table to represent (x, y). Let's use (2010, 2829)

Thus,

2829 = 150(2010) + b

2829 = 301,500 + b

Subtract 301,500 from both sides

2829 - 301,500 = b

- 298,671 = b

Our linear equation for the function table would be h = 150t +(-298,671)

h = 150t - 298,671

==>Using the equation gotten, number if students to enrol in 2017 would be:

h = 150(2017) - 298,671

h = 302,550 - 298,671

h = 3,879

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9