Question

Blue High School had 207 students in its freshman class the day it opened. Its population grew by 4 students daily.

Write an equation to model the growth of the freshman class at Blue High School.
On what day did the freshman population grow to 283?
When did the freshman population grow to 319?

Answer 1

The equation to model the growth of the freshman class at Blue High School is P = 207 + 4d. The population grew to 283 on the 19th day and to 319 on the 28th day.

Step-by-step explanation:

To model the growth of the freshman class at Blue High School, we can use the equation P = 207 + 4d, where P represents the total population of the freshman class and d represents the number of days since the school opened.

To find the day when the freshman population grew to 283, we can substitute P = 283 into the equation and solve for d. Similarly, to find the day when the population grew to 319, we substitute P = 319 into the equation and solve for d.

Let's calculate the values of d for both cases:

For P = 283:

283 = 207 + 4d

4d = 283 - 207

4d = 76

d = 76 / 4

d = 19

Therefore, the freshman population grew to 283 on the 19th day.

For P = 319:

319 = 207 + 4d

4d = 319 - 207

4d = 112

d = 112 / 4

d = 28

Therefore, the freshman population grew to 319 on the 28th day.