Question

The formula J = 2.7x + 34 models the percentage of full-time college students with jobs x years after 1980. Use the formula to project when 63.7% of full-time college students will have jobs.

Answer 1

To find the projection of when 63.7% of full-time college students will have jobs, substitute the given percentage into the formula J = 2.7x + 34 and solve for x. The projection is approximately 12 years after 1980.

Step-by-step explanation:

To find the projection of when 63.7% of full-time college students will have jobs, we can substitute the given percentage into the formula J = 2.7x + 34 and solve for x. Let's denote the percentage as 0.637 and solve the equation:

0.637 = 2.7x + 34

Subtracting 34 from both sides, we get:

-33.363 = 2.7x

Dividing both sides by 2.7, we get:

x = -12.37

Since the question asks for the projection after 1980, we discard the negative value and conclude that 63.7% of full-time college students will have jobs approximately 12 years after 1980.