Answer:
A.) 0.0129 = k
B.) 2024
Step-by-step explanation:
A.)
267,000 = 250,300e^k5
267,000/250,300 = e^k5
1.0667 = e^k5
ln(1.0667) = lne^k5
ln(1.0667) = 5k
ln(1.0667)/5 = k
0.0129 = k
B.)
300,000 = 250,300^0.0129t
300,000/250,300 = e^0.0129t
1.1986 = e^0.0129t
ln(1.1986) = lne^0.0129t
ln(1.1986) = 0.0129t
ln(1.1986)/0.0129 = t
14.03 = t
so the year would be: 2024
Let s represent the number of students surveyed.
.. 0.40s play baseball
.. 0.60*(0.40s) play soccer and baseball
.. 0.60*0.40s = 12 . . . . . . . 12 students play soccer and baseball
.. s = 12/(0.60*0.40) = 12/0.24 = 50
Jonah surveyed 50 students.
_____
This is the number of students required to match Jonah's calculations.
Answer: The below figure shows the graph of f(x).
Explanation: Given function, 
Since, here three conditions are given,
In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).
In second case, for values 
, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point (0,-2).
In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).
Thus, these three lines make the piecewise-defined function f(x).
Keep in mind both the distance and time of the scenarios. The faster and more distance travelled = a higher gradient for the line. If he slows, the gradient decreases. If he stops, the line is flat but time still goes on.
