Using linear function concepts, it is found that the correct statements are given by:
- The number of biology degrees increases by about 2,414 each year after 2000.
- About 73,000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.
In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:
P(t) = 2,376t + 73,219.
For biology, the amount is given by:
B(t) = 2,414t + 56,545.
Then, the true statements are given by:
- The number of biology degrees increases by about 2,414 each year after 2000.
- About 73,000 students graduated with degrees in psychology in 2000.
- In 2000, more students graduated with psychology degrees than biology degrees.
More can be learned about linear function concepts at brainly.com/question/24808124
If ABCD is a parallelogram, we have to prove that slope of
AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the
slope of line segment AB = 0/-4, CD =
0/-4, BC = 1, DA = 1. Going back to the
condition, the slope we get for each line segment proves that ABCD is a
parallelogram.
Answer:
- 197 popcorn bags
- 202 food trays
Step-by-step explanation:
Since the numbers are split evenly 5 ways, each stand gets 1/5 of the total:
(985 bags)/5 = 197 bags
(1010 trays)/5 = 202 trays
Each concession stand receives 197 popcorn bags and 202 food trays.
We can assign the value "2x" as the amount of money that Amelia which to achieve in twelve years.
So, his initial money is X.
We can try each percent to test if it could double the amount in 12 years.
x+0.06*12years*x=1.72X
x+0.12*12*x=1.44x
x+0.1*12*x=2.2x
x+0.166*12*x=2.992x
Therefore, the answer is 10 percent.
Y = kx
72 = k*3
73/3 = k
24 = k
y = 24x