Question

The school enrollment for Oakwood Elementary is shown in the graph. If the pattern continues, what will the school enrollment be in 2012? Question 19 options: 500 525 550 575

Answer 1

The answer is 525

Answer 2

Option B. 525 students.

Explanation:

The school enrollment for Oakwood Elementary is shown in the graph.

The given graph is representing a linear function. So we will form the function first to calculate the enrollment in 2012.

Equation of the given line in the graph will be in the form of y = mx + c

where m is the slope and c = y- intercept

y-intercept = 300

this line passes through two ordered pairs (0, 300) and (1, 325)

Now the slope m =
`(y-y')/(x-x')`

m =
`(325-300)/(1-0)=25`

Therefore, equation representing the situation will be y = 25x + 300

Now we will put the value of x = year 2012 - year 2003 = 9 years

y = 25×9 + 300

y = 225 + 300

y = 525

Option B. 525 is the correct option.